What are the solutions to the equation 2a^2-8a+800=0 ?

The solutions to the equation 2a^2-8a+800=0 are a=2+6sqrt(11)i,a=2-6sqrt(11)i

Find the zeros of 2a^2-8a+800=0

The zeros of 2a^2-8a+800=0 are a=2+6sqrt(11)i,a=2-6sqrt(11)i

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2 a^{2} - 8 a + 800 = 0

a = 2 + 611 i, a = 2 - 611 i

Solution steps

2 a^{2} - 8 a + 800 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 2 \cdot 800}{2 \cdot 2}

Simplify

(- 8)^{2} - 4 \cdot 2 \cdot 800 : 2411 i

a_{1, 2} = \frac{- ( - 8 ) \pm 24 11 i}{2 \cdot 2}

Separate the solutions

a_{1} = \frac{- ( - 8 ) + 24 11 i}{2 \cdot 2}, a_{2} = \frac{- ( - 8 ) - 24 11 i}{2 \cdot 2}

a = \frac{- ( - 8 ) + 24 11 i}{2 \cdot 2} : 2 + 611 i

a = \frac{- ( - 8 ) - 24 11 i}{2 \cdot 2} : 2 - 611 i

The solutions to the quadratic equation are:

a = 2 + 611 i, a = 2 - 611 i

3 x^{2} - 43 x - 6 = 0

2 x^{2} - 16 x = 12 x + 48

(\frac{5 x - 1}{3})^{2} = \frac{4}{9}

x^{2} + 2 (m + 1) x - 3 m (m - 2) = 0

x, f = f (x^{2}) - 2 f (1)

What are the solutions to the equation 2a^2-8a+800=0 ?
The solutions to the equation 2a^2-8a+800=0 are a=2+6sqrt(11)i,a=2-6sqrt(11)i
Find the zeros of 2a^2-8a+800=0
The zeros of 2a^2-8a+800=0 are a=2+6sqrt(11)i,a=2-6sqrt(11)i