Question

Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic. q2 + 18q + ⬆️2 is a Exponent

Answer 1

Given data:

The given expression.

The given expression is perfect square it means can be express in th form of (a+b)^2.

The expression for the (a+b)^2 is,

$(a+b)^2=a^2+2ab+b^2$

The given expression can be written as,

$\begin{gathered} q^2+18q^{}-=q^2+2(q)(9)+9^2 \\ =q^2+2(q)(9)+81 \\ =\mleft(q+9\mright)^2 \end{gathered}$

Thus, the unknow value is 81.