What are the solutions to the equation 4x^2+6x=10 ?

The solutions to the equation 4x^2+6x=10 are x=1,x=-5/2

Find the zeros of 4x^2+6x=10

The zeros of 4x^2+6x=10 are x=1,x=-5/2

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4 x^{2} + 6 x = 10

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

Decimal Notation

x = 1, x = - 2.5

Solution steps

4 x^{2} + 6 x = 10

Move

10

to the left side

4 x^{2} + 6 x - 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 4 ( - 10 )}{2 \cdot 4}

6^{2} - 4 \cdot 4 (- 10) = 14

x_{1, 2} = \frac{- 6 \pm 14}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 6 + 14}{2 \cdot 4}, x_{2} = \frac{- 6 - 14}{2 \cdot 4}

x = \frac{- 6 + 14}{2 \cdot 4} : 1

x = \frac{- 6 - 14}{2 \cdot 4} : - \frac{5}{2}

The solutions to the quadratic equation are:

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

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

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

x, H (t) = 0.004 x^{2} - 0.197 x + 5.406

x^{2} = - \frac{1}{3}

x^{2} + 4.8 x + 5.75 = 0

What are the solutions to the equation 4x^2+6x=10 ?
The solutions to the equation 4x^2+6x=10 are x=1,x=-5/2
Find the zeros of 4x^2+6x=10
The zeros of 4x^2+6x=10 are x=1,x=-5/2