What are the solutions to the equation 4x^2-24x+45=0 ?

The solutions to the equation 4x^2-24x+45=0 are x=3+i 3/2 ,x=3-i 3/2

Find the zeros of 4x^2-24x+45=0

The zeros of 4x^2-24x+45=0 are x=3+i 3/2 ,x=3-i 3/2

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4 x^{2} - 24 x + 45 = 0

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

Solution steps

4 x^{2} - 24 x + 45 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 4 \cdot 45}{2 \cdot 4}

Simplify

(- 24)^{2} - 4 \cdot 4 \cdot 45 : 12 i

x_{1, 2} = \frac{- ( - 24 ) \pm 12 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 24 ) + 12 i}{2 \cdot 4}, x_{2} = \frac{- ( - 24 ) - 12 i}{2 \cdot 4}

x = \frac{- ( - 24 ) + 12 i}{2 \cdot 4} : 3 + i \frac{3}{2}

x = \frac{- ( - 24 ) - 12 i}{2 \cdot 4} : 3 - i \frac{3}{2}

The solutions to the quadratic equation are:

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

x (2 x + 5) \geq 0

\frac{1}{5} + \frac{1}{4} + \frac{1}{3}

\frac{3}{5} (x + 2) + 2 = \frac{3}{5} x

\frac{5}{6} - \frac{4}{3}

(5 + i) (7 - 3 i)

What are the solutions to the equation 4x^2-24x+45=0 ?
The solutions to the equation 4x^2-24x+45=0 are x=3+i 3/2 ,x=3-i 3/2
Find the zeros of 4x^2-24x+45=0
The zeros of 4x^2-24x+45=0 are x=3+i 3/2 ,x=3-i 3/2