What are the solutions to the equation 10x^2-35=65x ?

The solutions to the equation 10x^2-35=65x are x=7,x=-1/2

Find the zeros of 10x^2-35=65x

The zeros of 10x^2-35=65x are x=7,x=-1/2

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10 x^{2} - 35 = 65 x

x = 7, x = - \frac{1}{2}

Decimal Notation

x = 7, x = - 0.5

Solution steps

10 x^{2} - 35 = 65 x

Move

65 x

to the left side

10 x^{2} - 35 - 65 x = 0

Write in the standard form

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

10 x^{2} - 65 x - 35 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 65 ) \pm ( - 65 ) ^{2} - 4 \cdot 10 ( - 35 )}{2 \cdot 10}

(- 65)^{2} - 4 \cdot 10 (- 35) = 75

x_{1, 2} = \frac{- ( - 65 ) \pm 75}{2 \cdot 10}

Separate the solutions

x_{1} = \frac{- ( - 65 ) + 75}{2 \cdot 10}, x_{2} = \frac{- ( - 65 ) - 75}{2 \cdot 10}

x = \frac{- ( - 65 ) + 75}{2 \cdot 10} : 7

x = \frac{- ( - 65 ) - 75}{2 \cdot 10} : - \frac{1}{2}

The solutions to the quadratic equation are:

x = 7, x = - \frac{1}{2}

\frac{7 x + 2}{4 - 2 x} \geq 0

\frac{5}{15}

- 0.5 (x - 4) = 1.5

- 6 m^{2} = - 414

\frac{5}{6} + \frac{1}{6}

What are the solutions to the equation 10x^2-35=65x ?
The solutions to the equation 10x^2-35=65x are x=7,x=-1/2
Find the zeros of 10x^2-35=65x
The zeros of 10x^2-35=65x are x=7,x=-1/2