What are the solutions to the equation 3/64 x^2-x-6.25=0 ?

The solutions to the equation 3/64 x^2-x-6.25=0 are x=(4(8+sqrt(139)))/3 ,x=(4(8-sqrt(139)))/3

Find the zeros of 3/64 x^2-x-6.25=0

The zeros of 3/64 x^2-x-6.25=0 are x=(4(8+sqrt(139)))/3 ,x=(4(8-sqrt(139)))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{3}{64} x^{2} - x - 6.25 = 0

x = \frac{4 ( 8 + 139 )}{3}, x = \frac{4 ( 8 - 139 )}{3}

Decimal Notation

x = 26.38643 \dots, x = - 5.05310 \dots

Solution steps

\frac{3}{64} x^{2} - x - 6.25 = 0

Multiply both sides by

100

\frac{75}{16} x^{2} - 100 x - 625 = 0

Multiply both sides by

16

75 x^{2} - 1600 x - 10000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1600 ) \pm ( - 1600 ) ^{2} - 4 \cdot 75 ( - 10000 )}{2 \cdot 75}

(- 1600)^{2} - 4 \cdot 75 (- 10000) = 200139

x_{1, 2} = \frac{- ( - 1600 ) \pm 200 139}{2 \cdot 75}

Separate the solutions

x_{1} = \frac{- ( - 1600 ) + 200 139}{2 \cdot 75}, x_{2} = \frac{- ( - 1600 ) - 200 139}{2 \cdot 75}

x = \frac{- ( - 1600 ) + 200 139}{2 \cdot 75} : \frac{4 ( 8 + 139 )}{3}

x = \frac{- ( - 1600 ) - 200 139}{2 \cdot 75} : \frac{4 ( 8 - 139 )}{3}

The solutions to the quadratic equation are:

x = \frac{4 ( 8 + 139 )}{3}, x = \frac{4 ( 8 - 139 )}{3}

- 3 (u + 4) + 34 \leq 5 (2 - u)

- 2 p + 18 > 2

x + 2 = x^{2}

14 n^{2} + 41 n + 15 = 0

What are the solutions to the equation 3/64 x^2-x-6.25=0 ?
The solutions to the equation 3/64 x^2-x-6.25=0 are x=(4(8+sqrt(139)))/3 ,x=(4(8-sqrt(139)))/3
Find the zeros of 3/64 x^2-x-6.25=0
The zeros of 3/64 x^2-x-6.25=0 are x=(4(8+sqrt(139)))/3 ,x=(4(8-sqrt(139)))/3