Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficient
4u2+ 8u
and t - 15
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Answer :
1) 4u² + 8
⇒ 4u ( u + 2 ) = 0
⇒ 4u = 0 or u + 2 = 0
⇒ u = 0 or u = -2
VERIFICATION :
Sum of zeroes = - b/a
⇒ - 2 + 0 = - 8/4
⇒ - 2 = - 2
Product of zeroes = c/a
⇒ - 2 * 0 = 0/4
⇒ 0 = 0
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2) t² - 15
⇒ t² - (√15)² = 0
⇒ ( t + √15 ) ( t - √15 ) = 0
⇒ t = - √15 or t = √15
VERIFICATION:
Sum of zeroes = - b/a
⇒ - √15 + √15= 0 / 1
⇒ 0 = 0
Product of zeroes = c/a
⇒ -√15 * √15 = -15/1
⇒ -15 = -15
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