The quadratic equation ax² +bx + c = 0, if b² - 4ac = 0 , then two equal zeroes (roots) obtained ? (True/False)
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ANSWER : TRUE
Step-by-step explanation:
The quadratic equation ax² +bx + c = 0, if b² - 4ac = 0 , then two equal zeroes (roots) obtained.
FOR EXAMPLE,
x²- 4x + 4= 0
HERE ,
a = 1
b = -4
c = 4
→b²-4ac = (-4)²-4.4= 16-16=0.
VERIFICATION :
→ x = {-b ±√(b²-4ac)} / 2
→ x = (4±0)/2
→ x = 4/2,4/2
→ x = 2,2.
FROM THE ABOVE EXAMPLE, WE CAN SAY THAT : The quadratic equation ax² +bx + c = 0, if b² - 4ac = 0 , then two equal zeroes (roots) obtained .
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