What are the solutions to the equation 6x^2-35=11x ?

The solutions to the equation 6x^2-35=11x are x= 7/2 ,x=-5/3

Find the zeros of 6x^2-35=11x

The zeros of 6x^2-35=11x are x= 7/2 ,x=-5/3

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6 x^{2} - 35 = 11 x

x = \frac{7}{2}, x = - \frac{5}{3}

Decimal Notation

x = 3.5, x = - 1.66666 \dots

Solution steps

6 x^{2} - 35 = 11 x

Move

11 x

to the left side

6 x^{2} - 35 - 11 x = 0

Write in the standard form

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

6 x^{2} - 11 x - 35 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 6 ( - 35 )}{2 \cdot 6}

(- 11)^{2} - 4 \cdot 6 (- 35) = 31

x_{1, 2} = \frac{- ( - 11 ) \pm 31}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 31}{2 \cdot 6}, x_{2} = \frac{- ( - 11 ) - 31}{2 \cdot 6}

x = \frac{- ( - 11 ) + 31}{2 \cdot 6} : \frac{7}{2}

x = \frac{- ( - 11 ) - 31}{2 \cdot 6} : - \frac{5}{3}

The solutions to the quadratic equation are:

x = \frac{7}{2}, x = - \frac{5}{3}

y, 4 x^{2} - y^{2} = 0

a^{2} + 9 = 9

11 y^{2} - 12 y + 4 = 6 y^{2}

4 p^{2} + 12 p + 9 = 0

x^{2} - 8 x = - 12

What are the solutions to the equation 6x^2-35=11x ?
The solutions to the equation 6x^2-35=11x are x= 7/2 ,x=-5/3
Find the zeros of 6x^2-35=11x
The zeros of 6x^2-35=11x are x= 7/2 ,x=-5/3