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

The solutions to the equation x^2-2x= 5/2 are x=(2+sqrt(14))/2 ,x=(2-sqrt(14))/2

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

The zeros of x^2-2x= 5/2 are x=(2+sqrt(14))/2 ,x=(2-sqrt(14))/2

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

x = \frac{2 + 14}{2}, x = \frac{2 - 14}{2}

Decimal Notation

x = 2.87082 \dots, x = - 0.87082 \dots

Solution steps

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

Multiply both sides by

2

2 x^{2} - 4 x = 5

Move

5

to the left side

2 x^{2} - 4 x - 5 = 0

Solve with the quadratic formula

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

(- 4)^{2} - 4 \cdot 2 (- 5) = 214

x_{1, 2} = \frac{- ( - 4 ) \pm 2 14}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 4 ) + 2 14}{2 \cdot 2}, x_{2} = \frac{- ( - 4 ) - 2 14}{2 \cdot 2}

x = \frac{- ( - 4 ) + 2 14}{2 \cdot 2} : \frac{2 + 14}{2}

x = \frac{- ( - 4 ) - 2 14}{2 \cdot 2} : \frac{2 - 14}{2}

The solutions to the quadratic equation are:

x = \frac{2 + 14}{2}, x = \frac{2 - 14}{2}

x, 5 x^{2} + 10 x + 4 = 0

(5 x - 4)^{2} = - 32

a^{2} - 10 a + 9 = 0

4 - 2 x^{2} = 3

x \cdot x - 7 = 120

What are the solutions to the equation x^2-2x= 5/2 ?
The solutions to the equation x^2-2x= 5/2 are x=(2+sqrt(14))/2 ,x=(2-sqrt(14))/2
Find the zeros of x^2-2x= 5/2
The zeros of x^2-2x= 5/2 are x=(2+sqrt(14))/2 ,x=(2-sqrt(14))/2