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

The solutions to the equation 4x^2+6=10x are x= 3/2 ,x=1

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

The zeros of 4x^2+6=10x are x= 3/2 ,x=1

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4 x^{2} + 6 = 10 x

x = \frac{3}{2}, x = 1

Decimal

x = 1.5, x = 1

Solution steps

4 x^{2} + 6 = 10 x

Move

10 x

to the left side

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

Write in the standard form

a x^{2} + b x + c = 0

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

Solve with the quadratic formula

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

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

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

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2}{2 \cdot 4}, x_{2} = \frac{- ( - 10 ) - 2}{2 \cdot 4}

x = \frac{- ( - 10 ) + 2}{2 \cdot 4} : \frac{3}{2}

x = \frac{- ( - 10 ) - 2}{2 \cdot 4} : 1

The solutions to the quadratic equation are:

x = \frac{3}{2}, x = 1

x^{2} - 13 x + 24 = - x + 4

0.5 F (1 - \frac{F}{3000}) - 100 = 0

7 x^{2} + 6 x = - 1

2 (x + 4) (3 x - 5) = 6

x^{2} - 6 x + 5

What are the solutions to the equation 4x^2+6=10x ?
The solutions to the equation 4x^2+6=10x are x= 3/2 ,x=1
Find the zeros of 4x^2+6=10x
The zeros of 4x^2+6=10x are x= 3/2 ,x=1