Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Grade-11

Easy

Question

The roots of the quadratic equation $2 x squared minus 2 square root of 2 x plus 1 equals 0$ are

$\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}$
$\sqrt{2}, \sqrt{2}$
$\frac{1}{\sqrt{2}}, - \frac{1}{\sqrt{2}}$
$\sqrt{2}, \frac{1}{\sqrt{2}}$

The correct answer is: $fraction numerator 1 over denominator square root of 2 end fraction comma fraction numerator 1 over denominator square root of 2 end fraction$

$text Here end text a equals 2 comma b equals negative 2 square root of 2 comma c equals 1$
$therefore D equals b squared minus 4 a c equals left parenthesis negative 2 square root of 2 right parenthesis squared minus 4 cross times 2 cross times 1 equals 8 minus 8 equals 0$
$x equals fraction numerator negative b plus-or-minus square root of D over denominator 2 a end fraction equals fraction numerator negative left parenthesis negative 2 square root of 2 right parenthesis plus-or-minus 0 over denominator 2 cross times 2 end fraction equals fraction numerator 2 square root of 2 over denominator 4 end fraction equals fraction numerator square root of 2 over denominator 2 end fraction equals fraction numerator 1 over denominator square root of 2 end fraction$
$therefore x equals fraction numerator 1 over denominator square root of 2 end fraction comma fraction numerator 1 over denominator square root of 2 end fraction$

Related Questions to study

Solve x(x-6)=0

Solve x(x-6)=0

MathematicsGrade-11

Tom wants to prank friend by hitting him with a water balloon on a hot summer day. If the balloon is dropped from the 6th floor of an apartment building that is 70 feet high, after how many seconds will the balloon hit the friend? Assume the friend is 6 feet tail.

Tom wants to prank friend by hitting him with a water balloon on a hot summer day. If the balloon is dropped from the 6th floor of an apartment building that is 70 feet high, after how many seconds will the balloon hit the friend? Assume the friend is 6 feet tail.

MathematicsGrade-11

Use the zero-product property to solve
$2 minus x squared equals left parenthesis 2 minus x right parenthesis squared$ .

Use the zero-product property to solve
$2 minus x squared equals left parenthesis 2 minus x right parenthesis squared$ .

MathematicsGrade-11

parallel

Use the zero-product property to solve
$left parenthesis x plus 4 right parenthesis left parenthesis 4 space x minus 5 right parenthesis equals left parenthesis 7 space x plus 10 right parenthesis left parenthesis 3 space x minus 2 right parenthesis$ .

Use the zero-product property to solve
$left parenthesis x plus 4 right parenthesis left parenthesis 4 space x minus 5 right parenthesis equals left parenthesis 7 space x plus 10 right parenthesis left parenthesis 3 space x minus 2 right parenthesis$ .

MathematicsGrade-11

Use the zero-product property to solve
$left parenthesis x plus 6 right parenthesis left parenthesis x minus 2 right parenthesis equals negative 16$

Use the zero-product property to solve
$left parenthesis x plus 6 right parenthesis left parenthesis x minus 2 right parenthesis equals negative 16$

MathematicsGrade-11

Solve $2 x squared minus 3 equals 15$ .

Solve $2 x squared minus 3 equals 15$ .

MathematicsGrade-11

parallel

Solve $x squared minus 1 equals 24$ .

Solve $x squared minus 1 equals 24$ .

MathematicsGrade-11

Solve (x - 7) (x + 2) = 0
x - 7 = 0 or x + 2 = 0
x = 7 or x = -2

Solve (x - 7) (x + 2) = 0
x - 7 = 0 or x + 2 = 0
x = 7 or x = -2

MathematicsGrade-11

Solve the quadratic equation below using the Square Root Method.
$negative 3 x squared minus 6 equals negative x squared minus 12$

Solve the quadratic equation below using the Square Root Method.
$negative 3 x squared minus 6 equals negative x squared minus 12$

MathematicsGrade-11

parallel

Determine the solutions of the quadratic equation $x squared minus 8 x plus 12 equals 0$ by inspecting the graph. Give answers correct to 1 decimal place where appropriate.

Determine the solutions of the quadratic equation $x squared minus 8 x plus 12 equals 0$ by inspecting the graph. Give answers correct to 1 decimal place where appropriate.

MathematicsGrade-11

Determine the solutions of the quadratic equation $x squared minus 8 x plus 16 equals 0$ . by inspecting the graph. Give answers correct to 1 decimal place where appropriate.

Determine the solutions of the quadratic equation $x squared minus 8 x plus 16 equals 0$ . by inspecting the graph. Give answers correct to 1 decimal place where appropriate.

MathematicsGrade-11

Solve the quadratic equation below using the Square Root Method.
$negative 7 open parentheses x squared minus 10 close parentheses squared minus 6 equals negative 258$

Solve the quadratic equation below using the Square Root Method.
$negative 7 open parentheses x squared minus 10 close parentheses squared minus 6 equals negative 258$

MathematicsGrade-11

parallel

Select the statement that is true about the graph of the function $straight f left parenthesis straight x right parenthesis equals left parenthesis straight x plus 5 right parenthesis squared plus 7$ .

Select the statement that is true about the graph of the function $straight f left parenthesis straight x right parenthesis equals left parenthesis straight x plus 5 right parenthesis squared plus 7$ .

MathematicsGrade-11

Solve the quadratic equation below using the Square Root Method.
$7 open parentheses negative x squared plus 1 close parentheses plus 6 open parentheses x squared minus 1 close parentheses equals negative 17$

Solve the quadratic equation below using the Square Root Method.
$7 open parentheses negative x squared plus 1 close parentheses plus 6 open parentheses x squared minus 1 close parentheses equals negative 17$

MathematicsGrade-11

What is the function of the kick in question 5 ?

What is the function of the kick in question 5 ?

MathematicsGrade-11

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.