What are the solutions to the equation x(x-9)=5 ?

The solutions to the equation x(x-9)=5 are x=(9+sqrt(101))/2 ,x=(9-sqrt(101))/2

Find the zeros of x(x-9)=5

The zeros of x(x-9)=5 are x=(9+sqrt(101))/2 ,x=(9-sqrt(101))/2

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x (x - 9) = 5

x = \frac{9 + 101}{2}, x = \frac{9 - 101}{2}

Decimal Notation

x = 9.52493 \dots, x = - 0.52493 \dots

Solution steps

x (x - 9) = 5

Expand

x (x - 9) : x^{2} - 9 x

x^{2} - 9 x = 5

Move

5

to the left side

x^{2} - 9 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 1 \cdot ( - 5 )}{2 \cdot 1}

(- 9)^{2} - 4 \cdot 1 \cdot (- 5) = 101

x_{1, 2} = \frac{- ( - 9 ) \pm 101}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 101}{2 \cdot 1}, x_{2} = \frac{- ( - 9 ) - 101}{2 \cdot 1}

x = \frac{- ( - 9 ) + 101}{2 \cdot 1} : \frac{9 + 101}{2}

x = \frac{- ( - 9 ) - 101}{2 \cdot 1} : \frac{9 - 101}{2}

The solutions to the quadratic equation are:

x = \frac{9 + 101}{2}, x = \frac{9 - 101}{2}

a^{2} - 4 a + 20 = 0

3 x^{2} + 6 x + 8 + 7 x^{2} - 3 x = 9

5 x^{2} + 70000 x - 6000 = 6000

x^{2} - 2 x = 15

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

What are the solutions to the equation x(x-9)=5 ?
The solutions to the equation x(x-9)=5 are x=(9+sqrt(101))/2 ,x=(9-sqrt(101))/2
Find the zeros of x(x-9)=5
The zeros of x(x-9)=5 are x=(9+sqrt(101))/2 ,x=(9-sqrt(101))/2