What are the solutions to the equation X^2-3X+4=0 ?

The solutions to the equation X^2-3X+4=0 are X= 3/2+i(sqrt(7))/2 ,X= 3/2-i(sqrt(7))/2

Find the zeros of X^2-3X+4=0

The zeros of X^2-3X+4=0 are X= 3/2+i(sqrt(7))/2 ,X= 3/2-i(sqrt(7))/2

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X^{2} - 3 X + 4 = 0

X = \frac{3}{2} + i \frac{7}{2}, X = \frac{3}{2} - i \frac{7}{2}

Solution steps

X^{2} - 3 X + 4 = 0

Solve with the quadratic formula

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

Simplify

(- 3)^{2} - 4 \cdot 1 \cdot 4 : 7 i

X_{1, 2} = \frac{- ( - 3 ) \pm 7 i}{2 \cdot 1}

Separate the solutions

X_{1} = \frac{- ( - 3 ) + 7 i}{2 \cdot 1}, X_{2} = \frac{- ( - 3 ) - 7 i}{2 \cdot 1}

X = \frac{- ( - 3 ) + 7 i}{2 \cdot 1} : \frac{3}{2} + i \frac{7}{2}

X = \frac{- ( - 3 ) - 7 i}{2 \cdot 1} : \frac{3}{2} - i \frac{7}{2}

The solutions to the quadratic equation are:

X = \frac{3}{2} + i \frac{7}{2}, X = \frac{3}{2} - i \frac{7}{2}

x^{2} - 2 x \geq 0

1.57 \cdot 1 0^{- 5} = \frac{x ^{2}}{0.1}

x^{2} + 15 x y + 56 y^{2}

b^{2} - 49

2 x + 6 = 7 x - 14

What are the solutions to the equation X^2-3X+4=0 ?
The solutions to the equation X^2-3X+4=0 are X= 3/2+i(sqrt(7))/2 ,X= 3/2-i(sqrt(7))/2
Find the zeros of X^2-3X+4=0
The zeros of X^2-3X+4=0 are X= 3/2+i(sqrt(7))/2 ,X= 3/2-i(sqrt(7))/2