What are the solutions to the equation 2x^2-14x=-15-x^2 ?

The solutions to the equation 2x^2-14x=-15-x^2 are x=3,x= 5/3

Find the zeros of 2x^2-14x=-15-x^2

The zeros of 2x^2-14x=-15-x^2 are x=3,x= 5/3

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2 x^{2} - 14 x = - 15 - x^{2}

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

Decimal Notation

x = 3, x = 1.66666 \dots

Solution steps

2 x^{2} - 14 x = - 15 - x^{2}

Move

x^{2}

to the left side

3 x^{2} - 14 x = - 15

Move

15

to the left side

3 x^{2} - 14 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 3 \cdot 15}{2 \cdot 3}

(- 14)^{2} - 4 \cdot 3 \cdot 15 = 4

x_{1, 2} = \frac{- ( - 14 ) \pm 4}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 14 ) + 4}{2 \cdot 3}, x_{2} = \frac{- ( - 14 ) - 4}{2 \cdot 3}

x = \frac{- ( - 14 ) + 4}{2 \cdot 3} : 3

x = \frac{- ( - 14 ) - 4}{2 \cdot 3} : \frac{5}{3}

The solutions to the quadratic equation are:

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

0 = - 4.9 x^{2} + 10 x + 100

x + x - \frac{xx}{100} = 36

2 x^{2} - 3 x - 5 = 0

x^{2} - \frac{1}{2} x + \frac{1}{4} = 0

4 - x^{2} = 60

What are the solutions to the equation 2x^2-14x=-15-x^2 ?
The solutions to the equation 2x^2-14x=-15-x^2 are x=3,x= 5/3
Find the zeros of 2x^2-14x=-15-x^2
The zeros of 2x^2-14x=-15-x^2 are x=3,x= 5/3