What are the solutions to the equation x^2-x-100=0 ?

The solutions to the equation x^2-x-100=0 are x=(1+sqrt(401))/2 ,x=(1-sqrt(401))/2

Find the zeros of x^2-x-100=0

The zeros of x^2-x-100=0 are x=(1+sqrt(401))/2 ,x=(1-sqrt(401))/2

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x^{2} - x - 100 = 0

x = \frac{1 + 401}{2}, x = \frac{1 - 401}{2}

Decimal Notation

x = 10.51249 \dots, x = - 9.51249 \dots

Solution steps

x^{2} - x - 100 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 1 \cdot ( - 100 )}{2 \cdot 1}

(- 1)^{2} - 4 \cdot 1 \cdot (- 100) = 401

x_{1, 2} = \frac{- ( - 1 ) \pm 401}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 401}{2 \cdot 1}, x_{2} = \frac{- ( - 1 ) - 401}{2 \cdot 1}

x = \frac{- ( - 1 ) + 401}{2 \cdot 1} : \frac{1 + 401}{2}

x = \frac{- ( - 1 ) - 401}{2 \cdot 1} : \frac{1 - 401}{2}

The solutions to the quadratic equation are:

x = \frac{1 + 401}{2}, x = \frac{1 - 401}{2}

x^{2} = 7 0^{2} + 10 5^{2}

\frac{1}{4} x^{2} - 2 x - 12

2 x^{2} + 7 x + 6

4 x^{2} + 7 x - 4 = 0

n^{2} = 18 n + 40

What are the solutions to the equation x^2-x-100=0 ?
The solutions to the equation x^2-x-100=0 are x=(1+sqrt(401))/2 ,x=(1-sqrt(401))/2
Find the zeros of x^2-x-100=0
The zeros of x^2-x-100=0 are x=(1+sqrt(401))/2 ,x=(1-sqrt(401))/2