What are the solutions to the equation x^2-11x=24 ?

The solutions to the equation x^2-11x=24 are x=(11+sqrt(217))/2 ,x=(11-sqrt(217))/2

Find the zeros of x^2-11x=24

The zeros of x^2-11x=24 are x=(11+sqrt(217))/2 ,x=(11-sqrt(217))/2

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x^{2} - 11 x = 24

x = \frac{11 + 217}{2}, x = \frac{11 - 217}{2}

Decimal Notation

x = 12.86545 \dots, x = - 1.86545 \dots

Solution steps

x^{2} - 11 x = 24

Move

24

to the left side

x^{2} - 11 x - 24 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 1 \cdot ( - 24 )}{2 \cdot 1}

(- 11)^{2} - 4 \cdot 1 \cdot (- 24) = 217

x_{1, 2} = \frac{- ( - 11 ) \pm 217}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 217}{2 \cdot 1}, x_{2} = \frac{- ( - 11 ) - 217}{2 \cdot 1}

x = \frac{- ( - 11 ) + 217}{2 \cdot 1} : \frac{11 + 217}{2}

x = \frac{- ( - 11 ) - 217}{2 \cdot 1} : \frac{11 - 217}{2}

The solutions to the quadratic equation are:

x = \frac{11 + 217}{2}, x = \frac{11 - 217}{2}

x, 3 x^{2} + 5 y^{2} - 6 x - 20 y = - 25

2 x^{2} + 144 = - 32 x

x, x^{2} + 4 = 0

- x^{2} + 6 x = (x + 3)^{2} - 9

3 x^{2} + 5 = - 13 x + 1

What are the solutions to the equation x^2-11x=24 ?
The solutions to the equation x^2-11x=24 are x=(11+sqrt(217))/2 ,x=(11-sqrt(217))/2
Find the zeros of x^2-11x=24
The zeros of x^2-11x=24 are x=(11+sqrt(217))/2 ,x=(11-sqrt(217))/2