What are the solutions to the equation 0= 5/5-x/5-x^2 ?

The solutions to the equation 0= 5/5-x/5-x^2 are x=-(1+sqrt(101))/(10),x=(sqrt(101)-1)/(10)

Find the zeros of 0= 5/5-x/5-x^2

The zeros of 0= 5/5-x/5-x^2 are x=-(1+sqrt(101))/(10),x=(sqrt(101)-1)/(10)

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0 = \frac{5}{5} - \frac{x}{5} - x^{2}

x = - \frac{1 + 101}{10}, x = \frac{101 - 1}{10}

Decimal Notation

x = - 1.10498 \dots, x = 0.90498 \dots

Solution steps

0 = \frac{5}{5} - \frac{x}{5} - x^{2}

Multiply both sides by

5

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

Switch sides

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

Write in the standard form

a x^{2} + b x + c = 0

- 5 x^{2} - x + 5 = 0

Solve with the quadratic formula

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

(- 1)^{2} - 4 (- 5) \cdot 5 = 101

x_{1, 2} = \frac{- ( - 1 ) \pm 101}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 101}{2 ( - 5 )}, x_{2} = \frac{- ( - 1 ) - 101}{2 ( - 5 )}

x = \frac{- ( - 1 ) + 101}{2 ( - 5 )} : - \frac{1 + 101}{10}

x = \frac{- ( - 1 ) - 101}{2 ( - 5 )} : \frac{101 - 1}{10}

The solutions to the quadratic equation are:

x = - \frac{1 + 101}{10}, x = \frac{101 - 1}{10}

x^{2} + 14 x - 6 = 0

5 x^{2} - 43 x - 18 = 0

x^{2} = x + x - 6

x^{2} - 4 x - 23 = 0

9 x^{2} - 72 = - 18 x

What are the solutions to the equation 0= 5/5-x/5-x^2 ?
The solutions to the equation 0= 5/5-x/5-x^2 are x=-(1+sqrt(101))/(10),x=(sqrt(101)-1)/(10)
Find the zeros of 0= 5/5-x/5-x^2
The zeros of 0= 5/5-x/5-x^2 are x=-(1+sqrt(101))/(10),x=(sqrt(101)-1)/(10)