What is the answer to 80=10x+14sqrt(x^2-10x+29) ?

The answer to 80=10x+14sqrt(x^2-10x+29) is x=-(-45+7sqrt(129))/(24),x=(45+7sqrt(129))/(24)

Solve for x: 80=10x+14sqrt(x^2-10x+29)

The solution is x=-(-45+7sqrt(129))/(24),x=(45+7sqrt(129))/(24)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

80 = 10 x + 14 x^{2} - 10 x + 29

x = - \frac{- 45 + 7 129}{24}, x = \frac{45 + 7 129}{24}

Decimal Notation

x = - 1.43769 \dots, x = 5.18769 \dots

Solution steps

80 = 10 x + 14 x^{2} - 10 x + 29

Remove square roots

6400 - 1600 x + 100 x^{2} = 196 x^{2} - 1960 x + 5684

Solve

6400 - 1600 x + 100 x^{2} = 196 x^{2} - 1960 x + 5684 : x = - \frac{- 45 + 7 129}{24}, x = \frac{45 + 7 129}{24}

x = - \frac{- 45 + 7 129}{24}, x = \frac{45 + 7 129}{24}

Verify Solutions:

x = - \frac{- 45 + 7 129}{24}

True

, x = \frac{45 + 7 129}{24}

True

The solutions are

x = - \frac{- 45 + 7 129}{24}, x = \frac{45 + 7 129}{24}

2 x = x^{\frac{1}{2}}

- 12 = - 3 x^{\frac{1}{3}}

x^{\frac{1}{2}} - x + 2 = 0

2.149 = \frac{g}{2.12}

6 + m + 49 = 3

What is the answer to 80=10x+14sqrt(x^2-10x+29) ?
The answer to 80=10x+14sqrt(x^2-10x+29) is x=-(-45+7sqrt(129))/(24),x=(45+7sqrt(129))/(24)
Solve for x: 80=10x+14sqrt(x^2-10x+29)
The solution is x=-(-45+7sqrt(129))/(24),x=(45+7sqrt(129))/(24)