What are the solutions to the equation 10x^2-39/2 x+9=0 ?

The solutions to the equation 10x^2-39/2 x+9=0 are x= 6/5 ,x= 3/4

Find the zeros of 10x^2-39/2 x+9=0

The zeros of 10x^2-39/2 x+9=0 are x= 6/5 ,x= 3/4

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10 x^{2} - \frac{39}{2} x + 9 = 0

x = \frac{6}{5}, x = \frac{3}{4}

Decimal

x = 1.2, x = 0.75

Solution steps

10 x^{2} - \frac{39}{2} x + 9 = 0

Multiply both sides by

2

20 x^{2} - 39 x + 18 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 39 ) \pm ( - 39 ) ^{2} - 4 \cdot 20 \cdot 18}{2 \cdot 20}

(- 39)^{2} - 4 \cdot 20 \cdot 18 = 9

x_{1, 2} = \frac{- ( - 39 ) \pm 9}{2 \cdot 20}

Separate the solutions

x_{1} = \frac{- ( - 39 ) + 9}{2 \cdot 20}, x_{2} = \frac{- ( - 39 ) - 9}{2 \cdot 20}

x = \frac{- ( - 39 ) + 9}{2 \cdot 20} : \frac{6}{5}

x = \frac{- ( - 39 ) - 9}{2 \cdot 20} : \frac{3}{4}

The solutions to the quadratic equation are:

x = \frac{6}{5}, x = \frac{3}{4}

x^{2} + 20 x - 4 = 0

3 (3 x + 5)^{2} - 36 = - 21

x^{2} + 4 x = 8 x + 5

2 x^{2} - 1 \frac{7}{25} = 0

a x^{2} + 2 x + 1 = 0

What are the solutions to the equation 10x^2-39/2 x+9=0 ?
The solutions to the equation 10x^2-39/2 x+9=0 are x= 6/5 ,x= 3/4
Find the zeros of 10x^2-39/2 x+9=0
The zeros of 10x^2-39/2 x+9=0 are x= 6/5 ,x= 3/4