What are the solutions to the equation 10x^2+3x=4 ?

The solutions to the equation 10x^2+3x=4 are x= 1/2 ,x=-4/5

Find the zeros of 10x^2+3x=4

The zeros of 10x^2+3x=4 are x= 1/2 ,x=-4/5

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10 x^{2} + 3 x = 4

x = \frac{1}{2}, x = - \frac{4}{5}

Solution steps

10 x^{2} + 3 x = 4

Move

4

to the left side

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

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 10 ( - 4 )}{2 \cdot 10}

3^{2} - 4 \cdot 10 (- 4) = 13

x_{1, 2} = \frac{- 3 \pm 13}{2 \cdot 10}

Separate the solutions

x_{1} = \frac{- 3 + 13}{2 \cdot 10}, x_{2} = \frac{- 3 - 13}{2 \cdot 10}

x = \frac{- 3 + 13}{2 \cdot 10} : \frac{1}{2}

x = \frac{- 3 - 13}{2 \cdot 10} : - \frac{4}{5}

The solutions to the quadratic equation are:

x = \frac{1}{2}, x = - \frac{4}{5}

\frac{2}{5} - \frac{4}{15}

(\frac{1}{4} y)^{2}

- \frac{π}{6} + \frac{π}{12}

(2 b)^{3}

18 z + 15 z - 9 = 123

What are the solutions to the equation 10x^2+3x=4 ?
The solutions to the equation 10x^2+3x=4 are x= 1/2 ,x=-4/5
Find the zeros of 10x^2+3x=4
The zeros of 10x^2+3x=4 are x= 1/2 ,x=-4/5