What are the solutions to the equation solvefor x,x^2=3x+10 ?

The solutions to the equation solvefor x,x^2=3x+10 are x=5,x=-2

Find the zeros of solvefor x,x^2=3x+10

The zeros of solvefor x,x^2=3x+10 are x=5,x=-2

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x, x^{2} = 3 x + 10

x = 5, x = - 2

Solution steps

x^{2} = 3 x + 10

Move

10

to the left side

x^{2} - 10 = 3 x

Move

3 x

to the left side

x^{2} - 10 - 3 x = 0

Write in the standard form

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

x^{2} - 3 x - 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 1 \cdot ( - 10 )}{2 \cdot 1}

(- 3)^{2} - 4 \cdot 1 \cdot (- 10) = 7

x_{1, 2} = \frac{- ( - 3 ) \pm 7}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 7}{2 \cdot 1}, x_{2} = \frac{- ( - 3 ) - 7}{2 \cdot 1}

x = \frac{- ( - 3 ) + 7}{2 \cdot 1} : 5

x = \frac{- ( - 3 ) - 7}{2 \cdot 1} : - 2

The solutions to the quadratic equation are:

x = 5, x = - 2

3 x^{2} - 8 x - 21 = 0

9 - 3 x^{2} + 5 x - 8 + 7 x^{2} = 5 x^{2} - 9 + 4 x + 4 x

405 - 168 x + 12 x^{2} = 0

0 = x^{2} - 6 x - 16

x^{2} - 6 x + 18

What are the solutions to the equation solvefor x,x^2=3x+10 ?
The solutions to the equation solvefor x,x^2=3x+10 are x=5,x=-2
Find the zeros of solvefor x,x^2=3x+10
The zeros of solvefor x,x^2=3x+10 are x=5,x=-2