1. Use the quadratic, x? + 18x = 25 to answer the following questions.
Part A: find the value of c that will result in a perfect square trinomial.
x2 + 18x + c = 25+ c
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Answer:

FIRST PROBLEM:

Exact Form:

x  =  25 /19

Decimal Form:

x =  1.31578947

Mixed Number Form:

x  =  1  6 /19

SECOND PROBLEM

Exact Form:

x  =  − 9  +  √ 106 ,  − 9  − √ 106

Decimal Form: x  =  1.29563014 ,  − 19.29563014

Step-by-step explanation:

The value of c that will result in a perfect square trinomial is 81.

Polynomial is an expression involving the operations of addition, subtraction, multiplication of variables.

A perfect square trinomial is a trinomial that can be written as the square of a binomial. A trinomial is a polynomial with three terms.

Given the quadratic equation:

x² + 18x = 25

Adding to both sides the square of half of the coefficient of x:

x² + 18x + 81 = 25 + 81

(x + 9)² = 25 + 81

The value of c that will result in a perfect square trinomial is 81.

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