Question

Use the discriminant of the following quadratic equation to state the number and type of solutions

x^2+4x=2x-7

a) 1 real solution
b) 2 complex solutions
c) 2 real solutions
d) 1 complex solution

Answer 1

Complex solutions which would be B! :)

Answer 2

Answer: Option b

Given a quadratic equation of the form

`x^2+4x=2x-7`

Let us write this in standard form of the type

`ax^2+bx+C=0\\x^2+4x-2x+7=0\\Orx^2+2x+7 =0\\`

Now this equation is in std form with a =1,b=2 and c =7

Discriminant =
`b^2-4ac = 2^2-4(7) = -24`

Since discriminant is negative we find that there are two distinct complex solutions for this quadratic equation.

So Option b is right.