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…

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asked Sep 14, 2019 13.1k views

2 Answers

Majusebetter · Answer 1 · 2019-09-18T23:51:52+0000

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.