What are the solutions to the equation 4x^2+x+1=64 ?

The solutions to the equation 4x^2+x+1=64 are x=(-1+sqrt(1009))/8 ,x=(-1-sqrt(1009))/8

Find the zeros of 4x^2+x+1=64

The zeros of 4x^2+x+1=64 are x=(-1+sqrt(1009))/8 ,x=(-1-sqrt(1009))/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 x^{2} + x + 1 = 64

x = \frac{- 1 + 1009}{8}, x = \frac{- 1 - 1009}{8}

Decimal Notation

x = 3.84559 \dots, x = - 4.09559 \dots

Solution steps

4 x^{2} + x + 1 = 64

Move

64

to the left side

4 x^{2} + x - 63 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 \cdot 4 ( - 63 )}{2 \cdot 4}

1^{2} - 4 \cdot 4 (- 63) = 1009

x_{1, 2} = \frac{- 1 \pm 1009}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 1 + 1009}{2 \cdot 4}, x_{2} = \frac{- 1 - 1009}{2 \cdot 4}

x = \frac{- 1 + 1009}{2 \cdot 4} : \frac{- 1 + 1009}{8}

x = \frac{- 1 - 1009}{2 \cdot 4} : \frac{- 1 - 1009}{8}

The solutions to the quadratic equation are:

x = \frac{- 1 + 1009}{8}, x = \frac{- 1 - 1009}{8}

4 x^{2} + 6 = 10 x

x^{2} - 13 x + 24 = - x + 4

0.5 F (1 - \frac{F}{3000}) - 100 = 0

7 x^{2} + 6 x = - 1

2 (x + 4) (3 x - 5) = 6

What are the solutions to the equation 4x^2+x+1=64 ?
The solutions to the equation 4x^2+x+1=64 are x=(-1+sqrt(1009))/8 ,x=(-1-sqrt(1009))/8
Find the zeros of 4x^2+x+1=64
The zeros of 4x^2+x+1=64 are x=(-1+sqrt(1009))/8 ,x=(-1-sqrt(1009))/8