Solve the equation by using quadratic formula X^2+8x=5

Answer:x = sqrt(21) - 4 or x = -sqrt(21) - 4Step-by-step explanation by using the quadratic formula:Solve for x: x^2 + 8 x = 5 Hint: | Move everything to the left hand side. Subtract 5 from both sides: x^2 + 8 x - 5 = 0 Hint: | Using the quadratic formula, solve for x. x = (-8 ± sqrt(8^2 - 4 (-5)))/2 = (-8 ± sqrt(64 + 20))/2 = (-8 ± sqrt(84))/2: x = (-8 + sqrt(84))/2 or x = (-8 - sqrt(84))/2 Hint: | Simplify radicals. sqrt(84) = sqrt(4×3×7) = sqrt(2^2×3×7) = 2sqrt(3×7) = 2 sqrt(21): x = (2 sqrt(21) - 8)/2 or x = (-2 sqrt(21) - 8)/2 Hint: | Factor the greatest common divisor (gcd) of -8, 2 sqrt(21) and 2 from -8 + 2 sqrt(21). Factor 2 from -8 + 2 sqrt(21) giving 2 (sqrt(21) - 4): x = 1/22 (sqrt(21) - 4) or x = (-2 sqrt(21) - 8)/2 Hint: | Cancel common terms in the numerator and denominator. (2 (sqrt(21) - 4))/2 = sqrt(21) - 4: x = sqrt(21) - 4 or x = (-2 sqrt(21) - 8)/2 Hint: | Factor the greatest common divisor (gcd) of -8, -2 sqrt(21) and 2 from -8 - 2 sqrt(21). Factor 2 from -8 - 2 sqrt(21) giving 2 (-sqrt(21) - 4): x = sqrt(21) - 4 or x = 1/22 (-sqrt(21) - 4) Hint: | Cancel common terms in the numerator and denominator. (2 (-sqrt(21) - 4))/2 = -sqrt(21) - 4: Answer: x = sqrt(21) - 4 or x = -sqrt(21) - 4