2. Find the roots of the quadratic equation 2x+ - 3x - 5 = 0, if they exist
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Answer:
2x²- 3x - 5 = 0
D = b² - 4ac
D = 9 - 4(2)(-5)
D = 9+40
D = 49
as D is positive so this equation has real and distinct roots and they exists
x =( -b plus minus √D)/2a
x = (3 + √49)/4. x = (3-√49)/4
x = (3+7)/4. x = (3-7)/4
x = 5/2. x = -4/4 = -1
thus the roots of this equation are 5/2 and -1
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