What are the solutions to the equation solvefor x,x^2-16x=5x-9 ?

The solutions to the equation solvefor x,x^2-16x=5x-9 are x=(21+9sqrt(5))/2 ,x=(21-9sqrt(5))/2

Find the zeros of solvefor x,x^2-16x=5x-9

The zeros of solvefor x,x^2-16x=5x-9 are x=(21+9sqrt(5))/2 ,x=(21-9sqrt(5))/2

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x, x^{2} - 16 x = 5 x - 9

x = \frac{21 + 9 5}{2}, x = \frac{21 - 9 5}{2}

Solution steps

x^{2} - 16 x = 5 x - 9

Move

9

to the left side

x^{2} - 16 x + 9 = 5 x

Move

5 x

to the left side

x^{2} - 21 x + 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 21 ) \pm ( - 21 ) ^{2} - 4 \cdot 1 \cdot 9}{2 \cdot 1}

(- 21)^{2} - 4 \cdot 1 \cdot 9 = 95

x_{1, 2} = \frac{- ( - 21 ) \pm 9 5}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 21 ) + 9 5}{2 \cdot 1}, x_{2} = \frac{- ( - 21 ) - 9 5}{2 \cdot 1}

x = \frac{- ( - 21 ) + 9 5}{2 \cdot 1} : \frac{21 + 9 5}{2}

x = \frac{- ( - 21 ) - 9 5}{2 \cdot 1} : \frac{21 - 9 5}{2}

The solutions to the quadratic equation are:

x = \frac{21 + 9 5}{2}, x = \frac{21 - 9 5}{2}

3 x^{2} - 18 x + 7 = 0

x^{2} - 10 x + 75 = 0

10 - 3 x = x^{2} - 6 x

13 n^{2} - 7 = - 6 - 3 n^{2}

y^{2} - 24 = 0

What are the solutions to the equation solvefor x,x^2-16x=5x-9 ?
The solutions to the equation solvefor x,x^2-16x=5x-9 are x=(21+9sqrt(5))/2 ,x=(21-9sqrt(5))/2
Find the zeros of solvefor x,x^2-16x=5x-9
The zeros of solvefor x,x^2-16x=5x-9 are x=(21+9sqrt(5))/2 ,x=(21-9sqrt(5))/2