Question

63x^2-62x=221 (solve without the help of any formula)

Answer 1

Answer:

63x^2-62x=221 (solve without the help of any formula)

Step-by-step explanation:

Factoring x2-62x-63

The first term is, x2 its coefficient is 1 .

The middle term is, -62x its coefficient is -62 .

The last term, "the constant", is -63

Step-1 : Multiply the coefficient of the first term by the constant 1 • -63 = -63

Step-2 : Find two factors of -63 whose sum equals the coefficient of the middle term, which is -62 .

-63 + 1 = -62 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -63 and 1

x2 - 63x + 1x - 63

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

x • (x-63)

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

1 • (x-63)

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

(x+1) • (x-63)

Which is the desired factorization

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