What is the answer to 2sqrt(x^2+10)=6x ?

The answer to 2sqrt(x^2+10)=6x is x=(sqrt(5))/2

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2sqrt(x^2+10)=6x

2 x^{2} + 10 = 6 x

x = \frac{5}{2}

Decimal Notation

x = 1.11803 \dots

Solution steps

2 x^{2} + 10 = 6 x

Square both sides:

4 x^{2} + 40 = 36 x^{2}

4 x^{2} + 40 = 36 x^{2}

Solve

4 x^{2} + 40 = 36 x^{2} : x = \frac{5}{2}, x = - \frac{5}{2}

x = \frac{5}{2}, x = - \frac{5}{2}

Verify Solutions:

x = \frac{5}{2}

True

, x = - \frac{5}{2}

False

The solution is

x = \frac{5}{2}

9 x = 0

x + 1 - 3 = 1

2 x = 20 + 2 x

(x - 3)^{\frac{2}{3}} = 25

(4 x + 1)^{\frac{1}{3}} = - 8

What is the answer to 2sqrt(x^2+10)=6x ?
The answer to 2sqrt(x^2+10)=6x is x=(sqrt(5))/2
Solve for x: 2sqrt(x^2+10)=6x
The solution is x=(sqrt(5))/2