What are the solutions to the equation x(4x-19)=30 ?

The solutions to the equation x(4x-19)=30 are x=6,x=-5/4

Find the zeros of x(4x-19)=30

The zeros of x(4x-19)=30 are x=6,x=-5/4

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x (4 x - 19) = 30

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

Decimal Notation

x = 6, x = - 1.25

Solution steps

x (4 x - 19) = 30

Expand

x (4 x - 19) : 4 x^{2} - 19 x

4 x^{2} - 19 x = 30

Move

30

to the left side

4 x^{2} - 19 x - 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 19 ) \pm ( - 19 ) ^{2} - 4 \cdot 4 ( - 30 )}{2 \cdot 4}

(- 19)^{2} - 4 \cdot 4 (- 30) = 29

x_{1, 2} = \frac{- ( - 19 ) \pm 29}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 19 ) + 29}{2 \cdot 4}, x_{2} = \frac{- ( - 19 ) - 29}{2 \cdot 4}

x = \frac{- ( - 19 ) + 29}{2 \cdot 4} : 6

x = \frac{- ( - 19 ) - 29}{2 \cdot 4} : - \frac{5}{4}

The solutions to the quadratic equation are:

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

x^{2} - 2 a x - b = 0

45 y + 7 y^{2} = 28

5 w^{2} - 16 w = 16

m^{2} + 16 m + 73 = 0

v^{2} + 7 v + 12 = 0

What are the solutions to the equation x(4x-19)=30 ?
The solutions to the equation x(4x-19)=30 are x=6,x=-5/4
Find the zeros of x(4x-19)=30
The zeros of x(4x-19)=30 are x=6,x=-5/4