II. Computation: Do what is asked: (Show your solution )
18. Use the quadratic formula to find the roots of x² + x - 12 = 0
19. Find the value of the discriminant and describe the nature of the roots of the equation x? - 13x - 30 = 0
20. Solve the quadratic equation 2x² – 3x - 5 = 0 and describe the nature of the roots obtained.
Answers & Comments
To complete the solution or to get the discriminant, use this quadratic formula :
D= b² - 4ac
18. EQUATION : x² + x - 12 = 0
x² + x - 12 = 0
a= 1, b= 1, c= -12
D= b² - 4ac
D= (1)² - 4(1)(-12)
D= 1 + 48
D= 49
NATURE OF THE ROOT :
19. EQUATION : x² - 13x - 30 = 0
x² - 13x - 30 = 0
a= 1, b= -13, c= -30
D= b² - 4ac
D= (-13)² - 4(1)(-30)
D= 169 + 120
D= 289
NATURE OF THE ROOT :
20. EQUATION : 2x² - 3x - 5 = 0
2x² - 3x - 5 = 0
a= 2, b= -3, c= -5
D= b² - 4ac
D= (-3)² - 4(2)(-5)
D= 9 + 40
D= 49
NATURE OF THE ROOT :
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