Which value must be added to the expression x2 + x to make it a perfect-square trinomial?
2 answers:
X² + x + ...m
x² + x + 1/4
\/x² = x
\/(1/4) = 1/2
2*x*1/2 = 2x/2 = x
x² + x/2 + 1/4
For this case we have the following expression:
We want to find a constant to create a perfect-square trinomial
The value of the constant is given by:
Where, b belongs to the coefficient that accompanies the term of exponent 1 in the quadratic equation.
Substituting values:
Rewriting the expression we have:
Answer:
must be added to the expression to make it a perfect-square trinomial
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