Question

5x^2 +7x+4=0 in A+bi Form

Answer 1

Explanation:

The discriminate is going to be the key to this problem.

Givens

a = 5

b = 7

c = 4

Formula

`\text{x = }\frac{ -b \pm \sqrt{b^(2) - 4ac } }{2a}`

Solution

`\text{x = }\frac{ -7 \pm \sqrt{7^(2) - 4*5*4 } }{2*5}`

`\text{x = }( -7 \pm √(-31) )/(10)`

`\text{x = }{ -0.7 \pm 0.1*√(31)*i }`

I have shown all the multiplication signs because it is clearer that way. You are going to have to figure out how to format the answer. If my answer is not among those you have, could you please give me the choices?

x1 = -0.7 + 0.1 sqrt(31) i

x2 = -0.7 - 0.1 sqrt(31) i