SOLUTION: Find the discriminant for each of the following quadratic equations and use it to determine the number of roots or real solutions it has. 5. x2

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Question 84117: Find the discriminant for each of the following quadratic equations and use it to determine the number of roots or real solutions it has.
5. x2 - 2x + 8 = 0
6. -x2+5x+6= 0
7. x2 - 14x + 49 = 0

Answer by venugopalramana(3286) (Show Source):
You can put this solution on YOUR website!
Find the discriminant for each of the following quadratic equations and use it to determine the number of roots or real solutions it has.
5. x2 - 2x + 8 = 0
FOR THE EQN.
AX^2+BX+C=0
D= B^2-4AC IS THE DISCRIMINANT
D=(-2)^2-4(1)(8)=4-32=-28...-VE
HENCE 2 DISTINCT IMAGINARY ROOTS
6. -x2+5x+6= 0
D=25+24=49..+VE & PERFECT SQUARE
HENCE 2 DISTINCT REAL RATIONAL ROOTS
7. x2 - 14x + 49 = 0
D=196-4*49-0
HENCE REAL EQUAL ROOTS.ONE ROO

SOLUTION: Find the discriminant for each of the following quadratic equations and use it to determine the number of roots or real solutions it has. 5. x2 - 2x + 8 = 0 6. -x2+5x+6= 0