solve without any formula: 63x^2-62x=221
Answers
Answer:
solve without any formula: 63x^2-62x=221
Step-by-step explanation:
Factoring x2-62x+672
The first term is, x2 its coefficient is 1 .
The middle term is, -62x its coefficient is -62 .
The last term, "the constant", is +672
Step-1 : Multiply the coefficient of the first term by the constant 1 • 672 = 672
Step-2 : Find two factors of 672 whose sum equals the coefficient of the middle term, which is -62 .
-672 + -1 = -673
-336 + -2 = -338
-224 + -3 = -227
-168 + -4 = -172
-112 + -6 = -118
-96 + -7 = -103
-84 + -8 = -92
-56 + -12 = -68
-48 + -14 = -62 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -48 and -14
x2 - 48x - 14x - 672
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-48)
Add up the last 2 terms, pulling out common factors :
14 • (x-48)
Step-5 : Add up the four terms of step 4 :
(x-14) • (x-48)
Which is the desired factorization