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Grade 11

Solving by completing the square II

Interactive practice questions

How can we find the number to add to $x^2-5x$x25x to make a perfect square trinomial?

Halve the coefficient of $x$x.

A

Square the coefficient of $x^2$x2.

B

Halve the coefficient of $x$x and then square it.

C

Square the coefficient of $x$x.

D
Easy
< 1min

Find the value(s) of $k$k that will make $x^2+kx+16$x2+kx+16 a perfect square trinomial.

If there is more than one value, write all of them on the same line, separated by commas.

Easy
1min

Solve the following quadratic equation noting that the left hand side is a perfect square. Leave the answer in radical form.

$\left(x+2\right)^2=20$(x+2)2=20

Easy
1min

Solve for $x$x:

$\left(x-10\right)^2=26$(x10)2=26

Easy
1min
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Outcomes

11U.A.2.3

Solve problems involving quadratic functions arising from real-world applications and represented using function notation

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