SOLUTION: x^2 + 14x+ 24 =0
ok so x^2 + 14x = -24
then my book says x^2 + 14x +49= 25 how did my text book get the 49?
then it continues (x + 7)^2 =25
x +7 = +-5
x=-7 +-5
Question 183951: x^2 + 14x+ 24 =0
ok so x^2 + 14x = -24
then my book says x^2 + 14x +49= 25 how did my text book get the 49?
then it continues (x + 7)^2 =25
x +7 = +-5
x=-7 +-5
so x= -2 or -12 i know how my book got the answer but not sure how my book got the 49 before(x+7)^2=25 Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website! x^2 + 14x+ 24 =0
Your book was solving it by completing the square like this:
x^2+14x =-24
x^2+14x+49=-24+49 divide the 2nd term by 2 and square the result 49 and use it as the 3rd term and add 49 to the other side to keep everything equal.
(x+7)^2=25
x+7=+-5 sqrt of each side.
x=-7+-5
x=-12, x=-2
You can also get the same answer by factoring or using the quadratic formula.
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Ed
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Factoring is easiest:
(x+12)(x+2)=0
x=-2, x=-12
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Quadratic equation: