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41 votes
41 votes
X^2+8x-35=0 which number would be added to complete the square

User Baziorek
by
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1 Answer

18 votes
18 votes

Answer:

x =(8-√204)/2=4-√ 51 = -3.141

x =(8+√204)/2=4+√ 51 = 11.141

Explanation:

Factoring x2-8x-35

The first term is, x2 its coefficient is 1 .

The middle term is, -8x its coefficient is -8 .

The last term, "the constant", is -35

Step-1 : Multiply the coefficient of the first term by the constant 1 • -35 = -35

Step-2 : Find two factors of -35 whose sum equals the coefficient of the middle term, which is -8 .

-35 + 1 = -34

-7 + 5 = -2

-5 + 7 = 2

-1 + 35 = 34

User Andha
by
3.2k points
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