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What is the solution to the equation?

5x = √(10 + 15x)

A. -1
B. 1
C. 1 and 2/5
D. -2/5

User Priyanthi
by
7.6k points

1 Answer

7 votes

The equation 5x = √(10 + 15x) is solved by squaring both sides to remove the square root, leading to a quadratic equation, which when solved using the quadratic formula gives the solution x = -2/5, making the correct answer D. -2/5.

The solution to the equation 5x = √(10 + 15x) is determined by squaring both sides of the equation to eliminate the square root and then solving the resulting quadratic equation. First, we square both sides:

(5x)² = (10 + 15x)

Then, we get:

25x² = 10 + 15x

To find the values of x, you move all the terms to one side:

25x² - 15x - 10 = 0

And utilizing the quadratic formula, we can find the possible values for x. After computation, we conclude that the solution is x = -2/5. Hence, the correct answer is D. -2/5.

User Cristian Sepulveda
by
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