Question

Can someone please help me solve this problem

Answer 1

Explanation:

Step 1: After adding 875 to both sides of the original equation, you get

`x^2+10x+\text{ ----- }=875`

Step 2: b is the coefficient of the x term, so b = 10. Divide in half (always half for completing the square!).

`(10)/(2)=5`

Square that result to get 25. That's c, the amount to add to both sides of the equation.

Step 3: Adding c to both sides produces

`x^2+10x+25=875+25`

Step 4: The result of Step 3 is
`x^2+10x+25=900`, and the left side factors as a perfect square.

`(x+5)^2=900`

Step 5: After taking square roots of both sides, you get

`x+5=\pm 30` which represents "two equations in one."

Separate them.

`x+5=30 \text{ or } x+5 =-30\\x=25 \text{ or } x=-35`