Question

plz solve the question as fast as u can....with proper steps. Find x if...
I need the answer in steps

Answer 1

for this u have to apply quadratic form to solve

Answer 2

Given Equation is x^2 - 3x + 4 = 0.

It is in the form of ax^2 + bx + c = 0, 

a = 1, b = -3, c = 4.

We know that for a quadratic equation ax^2 + bx + c = 0, there will be 2 solutions:

1.

$\frac{-b + \sqrt{b^2 - 4ac} }{2a}$

$\frac{-(-3) + \sqrt{(-3)^2 - 4 * 1 * 4} }{2 * 1}$

$\frac{3 + \sqrt{(-3)^2 - 4 * 4} }{2}$

$\frac{3 + \sqrt{9 - 16} }{2}$

$\frac{3 + \sqrt{-7} }{2}$

$\frac{3 + \sqrt{7} i }{2}$

$\frac{3}{2} + i \frac{ \sqrt{7} }{2}$



(2) 

$\frac{-b- \sqrt{b^2 - 4ac} }{2a}$

$\frac{-(-3) - \sqrt{(-3)^2 - 4 * 1 * 4} }{2 * 1}$

$\frac{3 - \sqrt{(-3)^2 - 4 * 4 } }{2}$

$\frac{3 - \sqrt{9 - 16} }{2}$

$\frac{3 - \sqrt{-7} }{2}$

$\frac{3 - \sqrt{7} i}{2}$

$\frac{3}{2} - i \frac{ \sqrt{7} }{2}$


Therefore the values of x:

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


Hope this helps!