Answer:
x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21
Step-by-step explanation:
Let's solve your equation step-by-step.
4(x+5)^2=21
Step 1: Simplify both sides of the equation.
4x^2+40x+100=21
Step 2: Subtract 21 from both sides.
4x^2+40x+100−21 =21−21 4x^2+40x+79=0
For this equation: a=4, b=40, c=79
4x^2+40x+79=0
Step 3: Use quadratic formula with a=4, b=40, c=79.
x= −b±√ b^2−4ac/2ax
= −(40)+√ (40)^2−4(4)(79)/2(4)
x = 40^2±√ 336/8
x= −5+1/2 √ 21 or x = −5+ − 1/2√ 21
Answer: x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21
( I hope this was helpful) >;D
