SOLUTION: it says Solve by completing the square. x^2+10x-24=0 x^2+24x-52=0
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Question 677987
:
it says Solve by completing the square.
x^2+10x-24=0
x^2+24x-52=0
Answer by
swincher4391(1107)
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x^2+10x-24 = 0
x^2 + 10x = 24
x^2 + 10x + (10/2)^2 = 24 + (10/2)^2
x^2 + 10x + 25 = 24 + 25
(x+5)^2 = 49
sqrt((x+5)^2) = sqrt(49)
x+5 = +- 7
x = +-7 - 5
x = -12, 2
x^2 + 24x-52=0
x^2 + 24x = 52
x^2 + 24x + (24/2)^2 = 52 + (24/2)^2
x^2 + 24x + 144 = 52 + 144
x^2 + 24x + 144 = 196
(x+12)^2 = 14^2
x+12 = +- 14
x = -12 +- 14
x = -26, 2