Question

What is the solution of the equation x^2+10x+75=0

Answer 1

Answer:

x = -12.071 (3dp)

x = -11.036 (3dp)

Step-by-step explanation:

Step 1: Apply the quadratic formula

(-b±($\sqrt{b²-4ac}$)) / 2a

a = 1 (x²)

b = 10 (10x)

c = 75 (75)

(-10±($\sqrt{10²- 4 x 1 x 75}$)) / 2 x 1

Step 2: Simplify

(-10±($\sqrt{-200}$)) / 2

Step 3: Solve the equation

You must replace ± with first a + then a -.

(-10+($\sqrt{-200}$)) / 2 = -12.071 (3dp) = x

(-10-($\sqrt{-200}$)) / 2 = -11.036 (3dp) = x

Hope this helps!