What equation results from completing of the square and then factoring? X^2+4x=5

Question

Mathematics

Maliyah Terry

18 July, 14:17

What equation results from completing of the square and then factoring? X^2+4x=5

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Answers (1)

Know the Answer?

Dominic Gaines · Answer 1

(x-1) (x+5) = 0

x=1; x=-5

Step-by-step explanation:

x²+4x=5

x²+4x+2²=5+2²

(x+2) ²=3²

(x+2) ²-3²=0

(x+2-3) (x+2+3) = 0

(x-1) (x+5) = 0

(x-1) = 0; x=1

(x+5) = 0; x = - 5