What is the answer to sqrt(5x+84)=2x+21 ?

The answer to sqrt(5x+84)=2x+21 is x=-7

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sqrt(5x+84)=2x+21

5 x + 84 = 2 x + 21

x = - 7

Solution steps

5 x + 84 = 2 x + 21

Square both sides:

5 x + 84 = 4 x^{2} + 84 x + 441

5 x + 84 = 4 x^{2} + 84 x + 441

Solve

5 x + 84 = 4 x^{2} + 84 x + 441 : x = - 7, x = - \frac{51}{4}

x = - 7, x = - \frac{51}{4}

Verify Solutions:

x = - 7

True

, x = - \frac{51}{4}

False

The solution is

x = - 7

1 + 5 x + 2 = 4

x^{2} = 80

c \cdot c = 11, c

x + 2 x - 15 = 0

What is the answer to sqrt(5x+84)=2x+21 ?
The answer to sqrt(5x+84)=2x+21 is x=-7
Solve for x: sqrt(5x+84)=2x+21
The solution is x=-7