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What are the solutions to the equation sqrt x^2+2x-10 = sqrt x+20
x = –6, x = –5
x = –6, x = 5
x = –5, x = 6
x = 5, x = 6


Sagot :

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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