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

The solutions to the equation x^2-x-5/2 =0 are x=(1+sqrt(11))/2 ,x=(1-sqrt(11))/2

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

The zeros of x^2-x-5/2 =0 are x=(1+sqrt(11))/2 ,x=(1-sqrt(11))/2

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

x = \frac{1 + 11}{2}, x = \frac{1 - 11}{2}

Decimal Notation

x = 2.15831 \dots, x = - 1.15831 \dots

Solution steps

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

Multiply both sides by

2

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

Solve with the quadratic formula

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

(- 2)^{2} - 4 \cdot 2 (- 5) = 211

x_{1, 2} = \frac{- ( - 2 ) \pm 2 11}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 2 11}{2 \cdot 2}, x_{2} = \frac{- ( - 2 ) - 2 11}{2 \cdot 2}

x = \frac{- ( - 2 ) + 2 11}{2 \cdot 2} : \frac{1 + 11}{2}

x = \frac{- ( - 2 ) - 2 11}{2 \cdot 2} : \frac{1 - 11}{2}

The solutions to the quadratic equation are:

x = \frac{1 + 11}{2}, x = \frac{1 - 11}{2}

\frac{x ^{3}}{x ^{2}}

- 4.8 x^{2} + 1.6 x + 24 = 0

x^{2} - 5 x - 6

5^{2 x} - 5^{x + 1} + 5 \geq 5^{x + 1} - 20

4 x^{2} - 4 x = - 9

What are the solutions to the equation x^2-x-5/2 =0 ?
The solutions to the equation x^2-x-5/2 =0 are x=(1+sqrt(11))/2 ,x=(1-sqrt(11))/2
Find the zeros of x^2-x-5/2 =0
The zeros of x^2-x-5/2 =0 are x=(1+sqrt(11))/2 ,x=(1-sqrt(11))/2