First use the discriminant to determine whether the equation has two nonreal com

Khaleesi Herbert

Khaleesi Herbert

Answered question

2021-09-15

First use the discriminant to determine whether the equation has two nonreal complex solutions, one real solution with a multiplicity of two, or two real solutions. Then solve the equation.
x27x+13=0

Answer & Explanation

Maciej Morrow

Maciej Morrow

Skilled2021-09-16Added 98 answers

Step 1
First checking discriminant of the equation x27x+13=0
b24ac=494(1)(13)=4952=3<0
Since, discriminant is negative so the equation has two non−real complexsolutions.
Step 2
On solving x27x+13=0
x27x=13
x27x+494=34
On righting the left hand side as a square:−
(x72)2=34
Taking the square root of both the sides in the above equation, we have:−
x72=i32 or x72=i32
Adding 72 to both sides, we have:−
x=72+i32 or x72=i32
Answer x=72+i32 or x72=i32}

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