What are the solutions to the equation x^2-7x+10=3x-6 ?

The solutions to the equation x^2-7x+10=3x-6 are x=8,x=2

Find the zeros of x^2-7x+10=3x-6

The zeros of x^2-7x+10=3x-6 are x=8,x=2

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x^{2} - 7 x + 10 = 3 x - 6

x = 8, x = 2

Solution steps

x^{2} - 7 x + 10 = 3 x - 6

Move

6

to the left side

x^{2} - 7 x + 16 = 3 x

Move

3 x

to the left side

x^{2} - 10 x + 16 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot 16}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot 16 = 6

x_{1, 2} = \frac{- ( - 10 ) \pm 6}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 6}{2 \cdot 1}, x_{2} = \frac{- ( - 10 ) - 6}{2 \cdot 1}

x = \frac{- ( - 10 ) + 6}{2 \cdot 1} : 8

x = \frac{- ( - 10 ) - 6}{2 \cdot 1} : 2

The solutions to the quadratic equation are:

x = 8, x = 2

4 x^{2} - 19 x + 21 = 0

2 x^{2} + 8 x - 10 = 0

- 4 = 3 x^{2} - 3 x

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

x^{2} - 10 x + 9 = 0

What are the solutions to the equation x^2-7x+10=3x-6 ?
The solutions to the equation x^2-7x+10=3x-6 are x=8,x=2
Find the zeros of x^2-7x+10=3x-6
The zeros of x^2-7x+10=3x-6 are x=8,x=2