Respuesta :
Answer: ((B)) x = –6, x = 5
Step-by-step explanation: Edge 2021
As per quadratic equation, the solutions to the equation √(x² + 2x - 10) = √(x + 20) is x = - 6, 5.
What is a quadratic equation?
"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients(a ≠ 0), x is the variable, and 'c' is the constant term."
The given quadratic equation is:
√(x² + 2x - 10) = √(x + 20)
⇒ (x² + 2x - 10) = (x + 20)
⇒ (x² + 2x - 10) - (x + 20) = 0
⇒ (x² + x - 30) = 0
⇒ (x² + 6x - 5x - 30) = 0
⇒ x(x + 6) - 5(x + 6) = 0
⇒ (x + 6) (x - 5) = 0
⇒ x = - 6, 5
Learn more about quadratic equation here: https://brainly.com/question/1527885
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