What is the answer to x+5=sqrt(26x+14) ?

The answer to x+5=sqrt(26x+14) is x=8+sqrt(53),x=8-sqrt(53)

Solve for x: x+5=sqrt(26x+14)

The solution is x=8+sqrt(53),x=8-sqrt(53)

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x + 5 = 26 x + 14

x = 8 + 53, x = 8 - 53

Decimal Notation

x = 15.28010 \dots, x = 0.71989 \dots

Solution steps

x + 5 = 26 x + 14

Square both sides:

x^{2} + 10 x + 25 = 26 x + 14

x^{2} + 10 x + 25 = 26 x + 14

Solve

x^{2} + 10 x + 25 = 26 x + 14 : x = 8 + 53, x = 8 - 53

x = 8 + 53, x = 8 - 53

Verify Solutions:

x = 8 + 53

True

, x = 8 - 53

True

The solutions are

x = 8 + 53, x = 8 - 53

3 = \frac{h}{4.9}

3 x = 6 x

- 3 + 8 x + 1 = 13

2 x - 3 + 2 x + 5 = 4

2 x^{\frac{3}{2}} = 8

What is the answer to x+5=sqrt(26x+14) ?
The answer to x+5=sqrt(26x+14) is x=8+sqrt(53),x=8-sqrt(53)
Solve for x: x+5=sqrt(26x+14)
The solution is x=8+sqrt(53),x=8-sqrt(53)