Question

Quadratic equation
(x-7)*(x-19)=64​

Answer 1

Answer:

(x-7)*(x-19)-(64)=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

(x - 7) • (x - 19) - 64 = 0

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring x2-26x+69

The first term is, x2 its coefficient is 1 .

The middle term is, -26x its coefficient is -26 .

The last term, "the constant", is +69

Step-1 : Multiply the coefficient of the first term by the constant 1 • 69 = 69

Step-2 : Find two factors of 69 whose sum equals the coefficient of the middle term, which is -26 .

-69 + -1 = -70

-23 + -3 = -26 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -23 and -3

x2 - 23x - 3x - 69

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

x • (x-23)

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

3 • (x-23)

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

(x-3) • (x-23)

Which is the desired factor