What are the solutions to the equation 3x^2+87=30x ?

The solutions to the equation 3x^2+87=30x are x=5+2i,x=5-2i

Find the zeros of 3x^2+87=30x

The zeros of 3x^2+87=30x are x=5+2i,x=5-2i

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3 x^{2} + 87 = 30 x

x = 5 + 2 i, x = 5 - 2 i

Solution steps

3 x^{2} + 87 = 30 x

Move

30 x

to the left side

3 x^{2} + 87 - 30 x = 0

Write in the standard form

a x^{2} + b x + c = 0

3 x^{2} - 30 x + 87 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 3 \cdot 87}{2 \cdot 3}

Simplify

(- 30)^{2} - 4 \cdot 3 \cdot 87 : 12 i

x_{1, 2} = \frac{- ( - 30 ) \pm 12 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 30 ) + 12 i}{2 \cdot 3}, x_{2} = \frac{- ( - 30 ) - 12 i}{2 \cdot 3}

x = \frac{- ( - 30 ) + 12 i}{2 \cdot 3} : 5 + 2 i

x = \frac{- ( - 30 ) - 12 i}{2 \cdot 3} : 5 - 2 i

The solutions to the quadratic equation are:

x = 5 + 2 i, x = 5 - 2 i

- 3 b (b - 2) + 7 (b - 2)^{2}

3 ∣ x + 1 ∣ + 2 = 11

12 x^{2} - 8 x + 1 = 0

x^{(2)} + 10 x + 25 = 0

e^{3^{2}}

What are the solutions to the equation 3x^2+87=30x ?
The solutions to the equation 3x^2+87=30x are x=5+2i,x=5-2i
Find the zeros of 3x^2+87=30x
The zeros of 3x^2+87=30x are x=5+2i,x=5-2i