What are the solutions to the equation 3x^2-10x+15=0 ?

The solutions to the equation 3x^2-10x+15=0 are x= 5/3+i(2sqrt(5))/3 ,x= 5/3-i(2sqrt(5))/3

Find the zeros of 3x^2-10x+15=0

The zeros of 3x^2-10x+15=0 are x= 5/3+i(2sqrt(5))/3 ,x= 5/3-i(2sqrt(5))/3

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3 x^{2} - 10 x + 15 = 0

x = \frac{5}{3} + i \frac{2 5}{3}, x = \frac{5}{3} - i \frac{2 5}{3}

Solution steps

3 x^{2} - 10 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 3 \cdot 15}{2 \cdot 3}

Simplify

(- 10)^{2} - 4 \cdot 3 \cdot 15 : 45 i

x_{1, 2} = \frac{- ( - 10 ) \pm 4 5 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 4 5 i}{2 \cdot 3}, x_{2} = \frac{- ( - 10 ) - 4 5 i}{2 \cdot 3}

x = \frac{- ( - 10 ) + 4 5 i}{2 \cdot 3} : \frac{5}{3} + i \frac{2 5}{3}

x = \frac{- ( - 10 ) - 4 5 i}{2 \cdot 3} : \frac{5}{3} - i \frac{2 5}{3}

The solutions to the quadratic equation are:

x = \frac{5}{3} + i \frac{2 5}{3}, x = \frac{5}{3} - i \frac{2 5}{3}

2.7118200000000 \dots x^{2} - 0.7182818285 x - 0.1323621525 = 0

2

10 p - 8 \geq 12

72535

\frac{2 x ^{- 2} y ^{0}}{( 2 x ^{- 3} y ^{0} ) ^{2}}

What are the solutions to the equation 3x^2-10x+15=0 ?
The solutions to the equation 3x^2-10x+15=0 are x= 5/3+i(2sqrt(5))/3 ,x= 5/3-i(2sqrt(5))/3
Find the zeros of 3x^2-10x+15=0
The zeros of 3x^2-10x+15=0 are x= 5/3+i(2sqrt(5))/3 ,x= 5/3-i(2sqrt(5))/3