What are the solutions to the equation 144=5x^2-8x+11 ?

The solutions to the equation 144=5x^2-8x+11 are x=(4+sqrt(681))/5 ,x=(4-sqrt(681))/5

Find the zeros of 144=5x^2-8x+11

The zeros of 144=5x^2-8x+11 are x=(4+sqrt(681))/5 ,x=(4-sqrt(681))/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

144 = 5 x^{2} - 8 x + 11

x = \frac{4 + 681}{5}, x = \frac{4 - 681}{5}

Decimal Notation

x = 6.01919 \dots, x = - 4.41919 \dots

Solution steps

144 = 5 x^{2} - 8 x + 11

Switch sides

5 x^{2} - 8 x + 11 = 144

Move

144

to the left side

5 x^{2} - 8 x - 133 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 5 ( - 133 )}{2 \cdot 5}

(- 8)^{2} - 4 \cdot 5 (- 133) = 2681

x_{1, 2} = \frac{- ( - 8 ) \pm 2 681}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 681}{2 \cdot 5}, x_{2} = \frac{- ( - 8 ) - 2 681}{2 \cdot 5}

x = \frac{- ( - 8 ) + 2 681}{2 \cdot 5} : \frac{4 + 681}{5}

x = \frac{- ( - 8 ) - 2 681}{2 \cdot 5} : \frac{4 - 681}{5}

The solutions to the quadratic equation are:

x = \frac{4 + 681}{5}, x = \frac{4 - 681}{5}

(18 - R)^{2} + (9 - R)^{2} = R^{2}

3 x^{2} - 10 + 3 = 0

2 n^{2} - 5 n - 12 = 0

0 = x^{2} - 26 x + 48

(4 x^{2} - 6 x + 9) = 0

What are the solutions to the equation 144=5x^2-8x+11 ?
The solutions to the equation 144=5x^2-8x+11 are x=(4+sqrt(681))/5 ,x=(4-sqrt(681))/5
Find the zeros of 144=5x^2-8x+11
The zeros of 144=5x^2-8x+11 are x=(4+sqrt(681))/5 ,x=(4-sqrt(681))/5