What are the solutions to the equation 4-11x=3x^2 ?

The solutions to the equation 4-11x=3x^2 are x= 1/3 ,x=-4

Find the zeros of 4-11x=3x^2

The zeros of 4-11x=3x^2 are x= 1/3 ,x=-4

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4 - 11 x = 3 x^{2}

x = \frac{1}{3}, x = - 4

Decimal Notation

x = 0.33333 \dots, x = - 4

Solution steps

4 - 11 x = 3 x^{2}

Switch sides

3 x^{2} = 4 - 11 x

Move

11 x

to the left side

3 x^{2} + 11 x = 4

Move

4

to the left side

3 x^{2} + 11 x - 4 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 11 \pm 1 1 ^{2} - 4 \cdot 3 ( - 4 )}{2 \cdot 3}

1 1^{2} - 4 \cdot 3 (- 4) = 13

x_{1, 2} = \frac{- 11 \pm 13}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 11 + 13}{2 \cdot 3}, x_{2} = \frac{- 11 - 13}{2 \cdot 3}

x = \frac{- 11 + 13}{2 \cdot 3} : \frac{1}{3}

x = \frac{- 11 - 13}{2 \cdot 3} : - 4

The solutions to the quadratic equation are:

x = \frac{1}{3}, x = - 4

x, x^{2} + 9 y^{2} = 0

x, (x^{2} + y^{2}) (p^{2} + q^{2}) = 1

a, a^{2} \cdot b^{2} = c^{2}

x^{2} - b^{2} = 0

x, f = m (x + 1)^{2} + n

What are the solutions to the equation 4-11x=3x^2 ?
The solutions to the equation 4-11x=3x^2 are x= 1/3 ,x=-4
Find the zeros of 4-11x=3x^2
The zeros of 4-11x=3x^2 are x= 1/3 ,x=-4