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26 votes
Factor out and show the step by step explanation of the answer for x^2+24x+5

User Ivan Kishchenko
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1 Answer

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15 votes

Answer:

x =(24-√596)/2=12-√ 149 = -0.207

x =(24+√596)/2=12+√ 149 = 24.207

Explanation:

Factoring x2-24x-5

The first term is, x2 its coefficient is 1 .

The middle term is, -24x its coefficient is -24 .

The last term, "the constant", is -5

Multiply the coefficient of the first term by the constant 1 • -5 = -5

Find two factors of -5 whose sum equals the coefficient of the middle term, which is -24 .

-5 + 1 = -4

-1 + 5 = 4

Two solutions were found :

x =(24-√596)/2=12-√ 149 = -0.207

x =(24+√596)/2=12+√ 149 = 24.207

User Milde
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