The equation has two solutions = [-4 + 2√13]/3] and
= [-4 - 2√13]/3]
Given the question:
(x + 4)^2 = 15 - 2x^2.
To solve the above Equation by using Quadratic Formula:
Solving Steps of Equation:
Expand the expression
Move the expression to the left
= 0
Collect like terms
Use the Quadratic formula:
x = [-b ± √(b2 – 4ac)]/2a
x = [-8 ± √(8^2 – 4x3x1)]/2x 3
Multiply and evaluate :
x = [-8± √(64 – 12)]/6]
Calculate:
x = [-8± 2√13]/6]
Separate the solutions
= [-4 + 2√13]/3]
= [-4 - 2√13]/3]
Hence, The equation has two solutions = [-4 + 2√13]/3] and
= [-4 - 2√13]/3]
Learn more about Quadratic Formula at:
#SPJ1