Mathematics

Quadratic-Equations

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Question

Solve 2x² – 12x + 18 = 0.

3
-3
3, -3
$3, \frac{1}{3}$

The correct answer is: 3

Solve x² – 6x – 1 = 0 through completing the square method

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

A rectangle has one side 3cm longer than the other. The rectangle has area 28cm². Find the perimeter of the rectangle.

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

Number of solutions to the graph of quadratic function.

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

Solve $fraction numerator x minus 2 over denominator 3 end fraction equals 5 over x$

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

The denominator of a fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is $2 16 over 21$ , find the fraction.

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

Rs. 6500 were divided equally among a certain number of persons. If there had been 15 more persons, each would have got Rs. 30 less. Find the original number of persons.

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

In the Maths Olympiad of 2020 at Animal Planet, two representatives from the donkey’s side, while solving a quadratic equation, committed the following mistakes.
(i) One of them made a mistake in the constant term and got the roots as 5 and 9.
(ii) Another one committed an error in the coefficient of x and he got the roots as 12 and 4.
But in the meantime, they realised that they are wrong and they managed to get it right jointly. Find the quadratic equation.

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

If one of roots of 2x² + ax + 32 = 0 is twice the other root, then the value of a is ________.

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

If $square root of x minus 1 end root minus square root of x plus 1 end root plus 1 equals 0$ , then 4x is equal to

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

In the equation $fraction numerator x left parenthesis x minus 1 right parenthesis minus left parenthesis m plus 1 right parenthesis over denominator left parenthesis x minus 1 right parenthesis left parenthesis m minus 1 right parenthesis end fraction equals x over m$ , the roots are equal when m = ____ .

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

The roots of the equation x^2/3 + x^1/3 – 2 = 0 are ________.

MathematicsQuadratic-Equations

Quadratic-Equations

Mathematics

If the roots of the equation (a² + b²) x² – 2b(a + c)x + (b² + c²) = 0 are equal, then ________.

MathematicsQuadratic-Equations

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Solve 2x2 – 12x + 18 = 0.

3-33, -3

The correct answer is: 3

Related Questions to study

Solve x2 – 6x – 1 = 0 through completing the square method

Solve x2 – 6x – 1 = 0 through completing the square method

A rectangle has one side 3cm longer than the other. The rectangle has area 28cm2. Find the perimeter of the rectangle.

A rectangle has one side 3cm longer than the other. The rectangle has area 28cm2. Find the perimeter of the rectangle.

Number of solutions to the graph of quadratic function.

Number of solutions to the graph of quadratic function.

Solve

Solve

Find the solution of 3x2 – 9x – 30 = 0.

Find the solution of 3x2 – 9x – 30 = 0.

Find the solution of 18 – 2x2 = 0.

Find the solution of 18 – 2x2 = 0.

Find the solution of quadratic equation: 2x2 + x – 3 = 0.

Find the solution of quadratic equation: 2x2 + x – 3 = 0.

The denominator of a fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is , find the fraction.

The denominator of a fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is , find the fraction.

Rs. 6500 were divided equally among a certain number of persons. If there had been 15 more persons, each would have got Rs. 30 less. Find the original number of persons.

Rs. 6500 were divided equally among a certain number of persons. If there had been 15 more persons, each would have got Rs. 30 less. Find the original number of persons.

If one of roots of 2x2 + ax + 32 = 0 is twice the other root, then the value of a is ________.

If one of roots of 2x2 + ax + 32 = 0 is twice the other root, then the value of a is ________.

If , then 4x is equal to

If , then 4x is equal to

In the equation , the roots are equal when m = ____ .

In the equation , the roots are equal when m = ____ .

The roots of the equation x2/3 + x1/3 – 2 = 0 are ________.

The roots of the equation x2/3 + x1/3 – 2 = 0 are ________.

If the roots of the equation (a2 + b2) x2 – 2b(a + c)x + (b2 + c2) = 0 are equal, then ________.

If the roots of the equation (a2 + b2) x2 – 2b(a + c)x + (b2 + c2) = 0 are equal, then ________.

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Solve 2x² – 12x + 18 = 0.

3
-3
3, -3
$3, \frac{1}{3}$

Solve x² – 6x – 1 = 0 through completing the square method

Solve x² – 6x – 1 = 0 through completing the square method

A rectangle has one side 3cm longer than the other. The rectangle has area 28cm². Find the perimeter of the rectangle.

A rectangle has one side 3cm longer than the other. The rectangle has area 28cm². Find the perimeter of the rectangle.

Solve $fraction numerator x minus 2 over denominator 3 end fraction equals 5 over x$

Solve $fraction numerator x minus 2 over denominator 3 end fraction equals 5 over x$

Find the solution of 3x² – 9x – 30 = 0.

Find the solution of 3x² – 9x – 30 = 0.

Find the solution of 18 – 2x² = 0.

Find the solution of 18 – 2x² = 0.

Find the solution of quadratic equation: 2x² + x – 3 = 0.

Find the solution of quadratic equation: 2x² + x – 3 = 0.

The denominator of a fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is $2 16 over 21$ , find the fraction.

The denominator of a fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is $2 16 over 21$ , find the fraction.

If one of roots of 2x² + ax + 32 = 0 is twice the other root, then the value of a is ________.

If one of roots of 2x² + ax + 32 = 0 is twice the other root, then the value of a is ________.

If $square root of x minus 1 end root minus square root of x plus 1 end root plus 1 equals 0$ , then 4x is equal to

If $square root of x minus 1 end root minus square root of x plus 1 end root plus 1 equals 0$ , then 4x is equal to

The roots of the equation x^2/3 + x^1/3 – 2 = 0 are ________.

The roots of the equation x^2/3 + x^1/3 – 2 = 0 are ________.

If the roots of the equation (a² + b²) x² – 2b(a + c)x + (b² + c²) = 0 are equal, then ________.

If the roots of the equation (a² + b²) x² – 2b(a + c)x + (b² + c²) = 0 are equal, then ________.