What are the solutions to the equation x(x-4)=10 ?

The solutions to the equation x(x-4)=10 are x=2+sqrt(14),x=2-sqrt(14)

Find the zeros of x(x-4)=10

The zeros of x(x-4)=10 are x=2+sqrt(14),x=2-sqrt(14)

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x (x - 4) = 10

x = 2 + 14, x = 2 - 14

Decimal Notation

x = 5.74165 \dots, x = - 1.74165 \dots

Solution steps

x (x - 4) = 10

Expand

x (x - 4) : x^{2} - 4 x

x^{2} - 4 x = 10

Move

10

to the left side

x^{2} - 4 x - 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 1 \cdot ( - 10 )}{2 \cdot 1}

(- 4)^{2} - 4 \cdot 1 \cdot (- 10) = 214

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

Separate the solutions

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

x = \frac{- ( - 4 ) + 2 14}{2 \cdot 1} : 2 + 14

x = \frac{- ( - 4 ) - 2 14}{2 \cdot 1} : 2 - 14

The solutions to the quadratic equation are:

x = 2 + 14, x = 2 - 14

12 x^{2} - 60 x + 50 = 0

2 x^{2} - 5 x + 2

3 x^{2} + 6 x - 60

- 2 x^{2} - 36 x - 154 = 0

2 n^{2} - 3 = - 12

What are the solutions to the equation x(x-4)=10 ?
The solutions to the equation x(x-4)=10 are x=2+sqrt(14),x=2-sqrt(14)
Find the zeros of x(x-4)=10
The zeros of x(x-4)=10 are x=2+sqrt(14),x=2-sqrt(14)