Question

I'll fan and medal. Please show all of your steps. Thank-you... Here is the question. Solve using the perfect square method: x^2+6x=7

Answer 1

Raise x to the 2nd power
Simplify x2-6x - 7

Answer 2

Factoring x2-6x-7

The first term is, x2 its coefficient is 1 .
The middle term is, -6x its coefficient is -6 .
The last term, "the constant", is -7

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

Step-2 : Find two factors of -7 whose sum equals the coefficient of the middle term, which is -6 .

-7 + 1 = -6 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 1
x2 - 7x + 1x - 7

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-7)
Add up the last 2 terms, pulling out common factors :
1 • (x-7)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-7)

Answer 3

@swamijatin2 thanks

Answer 4

your welcome