Quadratic Equations
New Zealand
Level 7 - NCEA Level 2
Solving by completing the square II
Interactive practice questions
How can we find the number to add to $x^2-5x$x2−5x 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 surd form.
$\left(x+2\right)^2=20$(x+2)2=20
Easy
1min
Solve for $x$x:
$\left(x-10\right)^2=26$(x−10)2=26
Easy
1min
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