What are the solutions to the equation x(2x-13)=15 ?

The solutions to the equation x(2x-13)=15 are x= 15/2 ,x=-1

Find the zeros of x(2x-13)=15

The zeros of x(2x-13)=15 are x= 15/2 ,x=-1

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x (2 x - 13) = 15

x = \frac{15}{2}, x = - 1

Decimal Notation

x = 7.5, x = - 1

Solution steps

x (2 x - 13) = 15

Expand

x (2 x - 13) : 2 x^{2} - 13 x

2 x^{2} - 13 x = 15

Move

15

to the left side

2 x^{2} - 13 x - 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 \cdot 2 ( - 15 )}{2 \cdot 2}

(- 13)^{2} - 4 \cdot 2 (- 15) = 17

x_{1, 2} = \frac{- ( - 13 ) \pm 17}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 13 ) + 17}{2 \cdot 2}, x_{2} = \frac{- ( - 13 ) - 17}{2 \cdot 2}

x = \frac{- ( - 13 ) + 17}{2 \cdot 2} : \frac{15}{2}

x = \frac{- ( - 13 ) - 17}{2 \cdot 2} : - 1

The solutions to the quadratic equation are:

x = \frac{15}{2}, x = - 1

f = 2 + 5

\frac{6 !}{1 ! ( 6 - 1 ) !}

14 \cdot 7

\frac{1 - 3 i}{2 + i}

\frac{41 \cdot 1 0 ^{- 9}}{2.7 \cdot 1 0 ^{- 12}}

What are the solutions to the equation x(2x-13)=15 ?
The solutions to the equation x(2x-13)=15 are x= 15/2 ,x=-1
Find the zeros of x(2x-13)=15
The zeros of x(2x-13)=15 are x= 15/2 ,x=-1