Math, asked by manishasujwani, 9 months ago

The roots of the equation 7x2 = 8 – 10x are...
and.....​

Answers

Answered by axubaliyan369
1

Step-by-step explanation:

7x2 - 10x) - 8 = 0

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 7x2-10x-8

The first term is, 7x2 its coefficient is 7 .

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

The last term, "the constant", is -8

Step-1 : Multiply the coefficient of the first term by the constant 7 • -8 = -56

Step-2 : Find two factors of -56 whose sum equals the coefficient of the middle term, which is -10 .

-56 + 1 = -55

-28 + 2 = -26

-14 + 4 = -10 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 4

7x2 - 14x + 4x - 8

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

7x • (x-2)

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

4 • (x-2)

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

(7x+4) • (x-2)

Which is the desired factorization

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