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

The solutions to the equation quadraticformula x^2=7x-10 are x=5,x=2

Find the zeros of quadraticformula x^2=7x-10

The zeros of quadraticformula x^2=7x-10 are x=5,x=2

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x^{2} = 7 x - 10

x = 5, x = 2

Solution steps

x^{2} = 7 x - 10

Move

10

to the left side

x^{2} + 10 = 7 x

Move

7 x

to the left side

x^{2} + 10 - 7 x = 0

Write in the standard form

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

x^{2} - 7 x + 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 1 \cdot 10}{2 \cdot 1}

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = 5, x = 2

x, 6 x = 7

6.2%

7.25%

- \frac{13}{6}

\frac{75}{4}

What are the solutions to the equation quadraticformula x^2=7x-10 ?
The solutions to the equation quadraticformula x^2=7x-10 are x=5,x=2
Find the zeros of quadraticformula x^2=7x-10
The zeros of quadraticformula x^2=7x-10 are x=5,x=2