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20 June, 14:00

What is the solution of Wx2+49 = x+5?

0 x=13

x=-12

x = - 6 or x = - 3

no solution

+2
Answers (1)
  1. 20 June, 17:13
    0
    x = 12

    or

    x = - 2

    Step-by-step explanation:

    The first term is, x2 its coefficient is 1.

    The middle term is, - 10x its coefficient is - 10.

    The last term, "the constant", is - 24

    Step-1 : Multiply the coefficient of the first term by the constant 1 • - 24 = - 24

    Step-2 : Find two factors of - 24 whose sum equals the coefficient of the middle term, which is - 10.

    -24 + 1 = - 23

    -12 + 2 = - 10 That's it

    Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 12 and 2

    x2 - 12x + 2x - 24

    Step-4 : Add up the first 2 terms, pulling out like factors:

    x • (x-12)

    Add up the last 2 terms, pulling out common factors:

    2 • (x-12)

    Step-5 : Add up the four terms of step 4:

    (x+2) • (x-12)
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