What are the solutions to the equation (x+7)(x-7)=3x ?

The solutions to the equation (x+7)(x-7)=3x are x=(3+sqrt(205))/2 ,x=(3-sqrt(205))/2

Find the zeros of (x+7)(x-7)=3x

The zeros of (x+7)(x-7)=3x are x=(3+sqrt(205))/2 ,x=(3-sqrt(205))/2

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(x + 7) (x - 7) = 3 x

x = \frac{3 + 205}{2}, x = \frac{3 - 205}{2}

Decimal Notation

x = 8.65891 \dots, x = - 5.65891 \dots

Solution steps

(x + 7) (x - 7) = 3 x

Expand

(x + 7) (x - 7) : x^{2} - 49

x^{2} - 49 = 3 x

Move

3 x

to the left side

x^{2} - 49 - 3 x = 0

Write in the standard form

a x^{2} + b x + c = 0

x^{2} - 3 x - 49 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 1 \cdot ( - 49 )}{2 \cdot 1}

(- 3)^{2} - 4 \cdot 1 \cdot (- 49) = 205

x_{1, 2} = \frac{- ( - 3 ) \pm 205}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 205}{2 \cdot 1}, x_{2} = \frac{- ( - 3 ) - 205}{2 \cdot 1}

x = \frac{- ( - 3 ) + 205}{2 \cdot 1} : \frac{3 + 205}{2}

x = \frac{- ( - 3 ) - 205}{2 \cdot 1} : \frac{3 - 205}{2}

The solutions to the quadratic equation are:

x = \frac{3 + 205}{2}, x = \frac{3 - 205}{2}

10 = 6 t - t^{2}

2 m^{2} - 6 m + 10 = 3 m - m^{2} - 6

32 x^{2} - 8 x + 1 = 0

2 (x - 2) = 4 x - 3 (x + 2)^{2}

0 = 3 x^{2} + 22 x - 16

What are the solutions to the equation (x+7)(x-7)=3x ?
The solutions to the equation (x+7)(x-7)=3x are x=(3+sqrt(205))/2 ,x=(3-sqrt(205))/2
Find the zeros of (x+7)(x-7)=3x
The zeros of (x+7)(x-7)=3x are x=(3+sqrt(205))/2 ,x=(3-sqrt(205))/2