What are the solutions to the equation (11x-2)^2-3(11x-2)-10=0 ?

The solutions to the equation (11x-2)^2-3(11x-2)-10=0 are x= 7/11 ,x=0

Find the zeros of (11x-2)^2-3(11x-2)-10=0

The zeros of (11x-2)^2-3(11x-2)-10=0 are x= 7/11 ,x=0

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(11 x - 2)^{2} - 3 (11 x - 2) - 10 = 0

x = \frac{7}{11}, x = 0

Decimal Notation

x = 0.63636 \dots, x = 0

Solution steps

(11 x - 2)^{2} - 3 (11 x - 2) - 10 = 0

Expand

(11 x - 2)^{2} - 3 (11 x - 2) - 10 : 121 x^{2} - 77 x

121 x^{2} - 77 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 77 ) \pm ( - 77 ) ^{2} - 4 \cdot 121 \cdot 0}{2 \cdot 121}

(- 77)^{2} - 4 \cdot 121 \cdot 0 = 77

x_{1, 2} = \frac{- ( - 77 ) \pm 77}{2 \cdot 121}

Separate the solutions

x_{1} = \frac{- ( - 77 ) + 77}{2 \cdot 121}, x_{2} = \frac{- ( - 77 ) - 77}{2 \cdot 121}

x = \frac{- ( - 77 ) + 77}{2 \cdot 121} : \frac{7}{11}

x = \frac{- ( - 77 ) - 77}{2 \cdot 121} : 0

The solutions to the quadratic equation are:

x = \frac{7}{11}, x = 0

x^{2} - 6000 x - 3000000 = 0

5 x^{2} + 9 x = - 3

0 = x (x + 3)

2 w^{2} + 3 w - 5 = 0

5 x^{2} + 6 x = 3

What are the solutions to the equation (11x-2)^2-3(11x-2)-10=0 ?
The solutions to the equation (11x-2)^2-3(11x-2)-10=0 are x= 7/11 ,x=0
Find the zeros of (11x-2)^2-3(11x-2)-10=0
The zeros of (11x-2)^2-3(11x-2)-10=0 are x= 7/11 ,x=0