What are the solutions to the equation x^2+x= 4/3 ?

The solutions to the equation x^2+x= 4/3 are x=(-3+sqrt(57))/6 ,x=(-3-sqrt(57))/6

Find the zeros of x^2+x= 4/3

The zeros of x^2+x= 4/3 are x=(-3+sqrt(57))/6 ,x=(-3-sqrt(57))/6

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x^{2} + x = \frac{4}{3}

x = \frac{- 3 + 57}{6}, x = \frac{- 3 - 57}{6}

Decimal Notation

x = 0.75830 \dots, x = - 1.75830 \dots

Solution steps

x^{2} + x = \frac{4}{3}

Multiply both sides by

3

3 x^{2} + 3 x = 4

Move

4

to the left side

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

Solve with the quadratic formula

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

3^{2} - 4 \cdot 3 (- 4) = 57

x_{1, 2} = \frac{- 3 \pm 57}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 3 + 57}{2 \cdot 3}, x_{2} = \frac{- 3 - 57}{2 \cdot 3}

x = \frac{- 3 + 57}{2 \cdot 3} : \frac{- 3 + 57}{6}

x = \frac{- 3 - 57}{2 \cdot 3} : \frac{- 3 - 57}{6}

The solutions to the quadratic equation are:

x = \frac{- 3 + 57}{6}, x = \frac{- 3 - 57}{6}

m^{2} + 50 m - 3 = 0

x, f (x + 3) = 3 x^{2} - x + 7

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

x^{2} - \frac{1}{8} x + 23 = 100

2 x (5 - x) = x^{2} + 3

What are the solutions to the equation x^2+x= 4/3 ?
The solutions to the equation x^2+x= 4/3 are x=(-3+sqrt(57))/6 ,x=(-3-sqrt(57))/6
Find the zeros of x^2+x= 4/3
The zeros of x^2+x= 4/3 are x=(-3+sqrt(57))/6 ,x=(-3-sqrt(57))/6