Question

Can someone please help me solve this problem

Answer 1

Step-by-step 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!).

$\frac{10}{2}=5$

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.

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