Mathematics

Quadratic-Equations

Easy

Question

If α and β are the roots of the equation x² – 6x + 8 = 0, then find the value of α² + β²

22
18
20
-20

The correct answer is: 20

Form a quadratic equation with rational coefficients, one of whose roots is $3 plus square root of 5$ .

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

If the sum of the roots of the equation kx² – 3x + 9 = 0 is $3 over 11$ , then find the product of the roots of that equation.

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

Discuss the nature of the roots of the equation 4x² – 2x + 1 = 0.

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

Find the roots of the equation 4x² – 13x + 10 = 0

MathematicsQuadratic-Equations

10th-Grade-Mathematics-Australia

Weekly-Tests-

Find the values of k for each of the following quadratic equations, so that they have two equal roots. kx (x – 2) + 6 = 0 ?

Weekly-Tests-10th-Grade-Mathematics-Australia

10th-Grade-Mathematics-Australia

Weekly-Tests-

Find the values of k for each of the following quadratic equations, so that they have two equal roots. 2x² + kx + 3 = 0

Weekly-Tests-10th-Grade-Mathematics-Australia

10th-Grade-Mathematics-Australia

Weekly-Tests-

Is the following situation possible? If so, determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.

Weekly-Tests-10th-Grade-Mathematics-Australia

10th-Grade-Mathematics-Australia

Weekly-Tests-

Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m² ? If so, find its length and breadth.

Weekly-Tests-10th-Grade-Mathematics-Australia

10th-Grade-Mathematics-Australia

Weekly-Tests-

Find the discriminant of the equation 3x² – 2x + 1 3 = 0 and hence find the nature of its roots.

Weekly-Tests-10th-Grade-Mathematics-Australia

10th-Grade-Mathematics-Australia

Weekly-Tests-

Find two consecutive odd positive integers, sum of whose squares is 290.

Weekly-Tests-10th-Grade-Mathematics-Australia

10th-Grade-Mathematics-Australia

Weekly-Tests-

A rectangle has its length as The area of the rectangle is 30m². Find the value of x?

Weekly-Tests-10th-Grade-Mathematics-Australia

10th-Grade-Mathematics-Australia

Weekly-Tests-

A rectangle has its length as The area of the rectangle is 4m². Find the value of

Weekly-Tests-10th-Grade-Mathematics-Australia

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If α and β are the roots of the equation x2 – 6x + 8 = 0, then find the value of α2 + β2

221820-20

The correct answer is: 20

Related Questions to study

Form a quadratic equation with rational coefficients, one of whose roots is .

Form a quadratic equation with rational coefficients, one of whose roots is .

If the sum of the roots of the equation kx2 – 3x + 9 = 0 is , then find the product of the roots of that equation.

If the sum of the roots of the equation kx2 – 3x + 9 = 0 is , then find the product of the roots of that equation.

Discuss the nature of the roots of the equation 4x2 – 2x + 1 = 0.

Discuss the nature of the roots of the equation 4x2 – 2x + 1 = 0.

Find the roots of the equation 4x2 – 13x + 10 = 0

Find the roots of the equation 4x2 – 13x + 10 = 0

Find the values of k for each of the following quadratic equations, so that they have two equal roots. kx (x – 2) + 6 = 0 ?

Find the values of k for each of the following quadratic equations, so that they have two equal roots. kx (x – 2) + 6 = 0 ?

Find the values of k for each of the following quadratic equations, so that they have two equal roots. 2x2 + kx + 3 = 0

Find the values of k for each of the following quadratic equations, so that they have two equal roots. 2x2 + kx + 3 = 0

Is the following situation possible? If so, determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.

Is the following situation possible? If so, determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.

Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2 ? If so, find its length and breadth.

Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2 ? If so, find its length and breadth.

Find the discriminant of the equation 3x2 – 2x + 1 3 = 0 and hence find the nature of its roots.

Find the discriminant of the equation 3x2 – 2x + 1 3 = 0 and hence find the nature of its roots.

Find two consecutive odd positive integers, sum of whose squares is 290.

Find two consecutive odd positive integers, sum of whose squares is 290.

A rectangle has its length as The area of the rectangle is 30m2. Find the value of x?

A rectangle has its length as The area of the rectangle is 30m2. Find the value of x?

Use the quadratic formula to solve:

Use the quadratic formula to solve:

Use the quadratic formula to solve:

Use the quadratic formula to solve:

Use the quadratic formula to solve:

Use the quadratic formula to solve:

A rectangle has its length as The area of the rectangle is 4m2. Find the value of

A rectangle has its length as The area of the rectangle is 4m2. Find the value of

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If α and β are the roots of the equation x² – 6x + 8 = 0, then find the value of α² + β²

22
18
20
-20

Form a quadratic equation with rational coefficients, one of whose roots is $3 plus square root of 5$ .

Form a quadratic equation with rational coefficients, one of whose roots is $3 plus square root of 5$ .

If the sum of the roots of the equation kx² – 3x + 9 = 0 is $3 over 11$ , then find the product of the roots of that equation.

If the sum of the roots of the equation kx² – 3x + 9 = 0 is $3 over 11$ , then find the product of the roots of that equation.

Discuss the nature of the roots of the equation 4x² – 2x + 1 = 0.

Discuss the nature of the roots of the equation 4x² – 2x + 1 = 0.

Find the roots of the equation 4x² – 13x + 10 = 0

Find the roots of the equation 4x² – 13x + 10 = 0

Find the values of k for each of the following quadratic equations, so that they have two equal roots. 2x² + kx + 3 = 0

Find the values of k for each of the following quadratic equations, so that they have two equal roots. 2x² + kx + 3 = 0

Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m² ? If so, find its length and breadth.

Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m² ? If so, find its length and breadth.

Find the discriminant of the equation 3x² – 2x + 1 3 = 0 and hence find the nature of its roots.

Find the discriminant of the equation 3x² – 2x + 1 3 = 0 and hence find the nature of its roots.

A rectangle has its length as The area of the rectangle is 30m². Find the value of x?

A rectangle has its length as The area of the rectangle is 30m². Find the value of x?

Use the quadratic formula to solve: $4 x squared minus 14 x plus 12 equals 0$

Use the quadratic formula to solve: $4 x squared minus 14 x plus 12 equals 0$

Use the quadratic formula to solve: $3 x squared minus 2 x minus 8 equals 0$

Use the quadratic formula to solve: $3 x squared minus 2 x minus 8 equals 0$

Use the quadratic formula to solve: $3 x squared plus 5 x minus 12 equals 0$

Use the quadratic formula to solve: $3 x squared plus 5 x minus 12 equals 0$

A rectangle has its length as The area of the rectangle is 4m². Find the value of

A rectangle has its length as The area of the rectangle is 4m². Find the value of