What are the solutions to the equation 10x^2-10x+9=2x^2+7x ?

The solutions to the equation 10x^2-10x+9=2x^2+7x are x= 9/8 ,x=1

Find the zeros of 10x^2-10x+9=2x^2+7x

The zeros of 10x^2-10x+9=2x^2+7x are x= 9/8 ,x=1

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10 x^{2} - 10 x + 9 = 2 x^{2} + 7 x

x = \frac{9}{8}, x = 1

Decimal Notation

x = 1.125, x = 1

Solution steps

10 x^{2} - 10 x + 9 = 2 x^{2} + 7 x

Move

7 x

to the left side

10 x^{2} - 17 x + 9 = 2 x^{2}

Move

2 x^{2}

to the left side

8 x^{2} - 17 x + 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 17 ) \pm ( - 17 ) ^{2} - 4 \cdot 8 \cdot 9}{2 \cdot 8}

(- 17)^{2} - 4 \cdot 8 \cdot 9 = 1

x_{1, 2} = \frac{- ( - 17 ) \pm 1}{2 \cdot 8}

Separate the solutions

x_{1} = \frac{- ( - 17 ) + 1}{2 \cdot 8}, x_{2} = \frac{- ( - 17 ) - 1}{2 \cdot 8}

x = \frac{- ( - 17 ) + 1}{2 \cdot 8} : \frac{9}{8}

x = \frac{- ( - 17 ) - 1}{2 \cdot 8} : 1

The solutions to the quadratic equation are:

x = \frac{9}{8}, x = 1

x^{2} - 17 x + 10 = 0

3 x^{(2)} + 2 x - 6 = 0

0 = - 3 x^{2} + 9 x + 30

49 x^{2} + 9 x = 0

x, 13 x^{2} + 23 x y + 15 y^{2} - 48 = 0

What are the solutions to the equation 10x^2-10x+9=2x^2+7x ?
The solutions to the equation 10x^2-10x+9=2x^2+7x are x= 9/8 ,x=1
Find the zeros of 10x^2-10x+9=2x^2+7x
The zeros of 10x^2-10x+9=2x^2+7x are x= 9/8 ,x=1