SOLUTION: Evaluate the discriminant of each equation. How many real and imaginary
solutions does each have?
37. x2 + 5x + 6 = 0
38. 3x2 - 4x + 3 = 0
39. -2x2 - 5x + 4 = 0
Algebra.Com
Question 177918: Evaluate the discriminant of each equation. How many real and imaginary
solutions does each have?
37. x2 + 5x + 6 = 0
38. 3x2 - 4x + 3 = 0
39. -2x2 - 5x + 4 = 0
40. 16x2 - 8x + 1 = 0
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
D= where D is the discriminant
:
....zero, bē - 4ac = 0 ----->1 real (double)eg (x-3)(x-3)
positive, bē - 4ac > 0 ----->2 real roots
negative, bē - 4ac < 0 ----->2 complex roots
:
Equations taken in the form of ax+by+c=0
:
I will do one and let you complete the rest
:
37. x2 + 5x + 6 = 0
:
a=1,b=5,c=6
:
since D>0 we will have 2 real roots.
38. 3x2 - 4x + 3 = 0
:
D<0
:
so 2 complex roots
:
39. -2x2 - 5x + 4 = 0
:
D>0 so 2 real roots
:
40. 16x2 - 8x + 1 = 0
:
so 1 real (double) root
RELATED QUESTIONS
Evaluate the discriminant of each equation. How many real and imaginary
solutions does... (answered by solver91311)
Evaluate the discriminant of each equation. How many real and imaginary
solutions does... (answered by edjones)
Evaluate the discriminant of each equation. How many real and imaginary solutions does it (answered by josmiceli)
Evaluate the discriminant of each equation.How many real and imaginary solutions does it... (answered by stanbon)
Evaluate the discriminant of each equation. How many real and imaginary soulutions does... (answered by jim_thompson5910)
I have to evaluate the discriminate of each equation. Tell how many solutions each... (answered by Edwin McCravy)
I have to evaluate the discriminate of each equation. Tell how many solutions each... (answered by Edwin McCravy)
for the following equation, state the value of the discriminant and then describe the... (answered by mananth)
instructions: evaluate the discriminant of each equation. determine how many real... (answered by stanbon)