What are the solutions to the equation 4x^2+3x-10=0 ?

The solutions to the equation 4x^2+3x-10=0 are x= 5/4 ,x=-2

Find the zeros of 4x^2+3x-10=0

The zeros of 4x^2+3x-10=0 are x= 5/4 ,x=-2

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

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

Decimal

x = 1.25, x = - 2

Solution steps

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

Solve with the quadratic formula

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

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

x_{1, 2} = \frac{- 3 \pm 13}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 3 + 13}{2 \cdot 4}, x_{2} = \frac{- 3 - 13}{2 \cdot 4}

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

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

The solutions to the quadratic equation are:

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

4 y^{2} x^{2} + 12 y x^{2} + 9 x^{2}

2 x^{2} + 11 x - 21

2 x + 1 > 0

2 x + 9 + 3 x + x = 4 x + 3

3^{y - 1} \leq 4^{y}

What are the solutions to the equation 4x^2+3x-10=0 ?
The solutions to the equation 4x^2+3x-10=0 are x= 5/4 ,x=-2
Find the zeros of 4x^2+3x-10=0
The zeros of 4x^2+3x-10=0 are x= 5/4 ,x=-2