find the quadratic equations whose roots are -1/4,1/4
Answers
Answer:
1st method :
sum of roots = -1/4 + 1/4 = 0 = 0/16 = -b/a
Product of roots = -1/4 * 1/4 = -1/16 = c/a
a = 16, b = -0, c = -1
therefore, quadratic equation is 16x² - 0x - 1 or 16x² - 1
2nd Method:
sum of roots = -1/4 + 1/4 = 0 = 0/16 = -b/a
Product of roots = -1/4 * 1/4 = -1/16 = c/a
quadratic equation = x² + (- sum of roots) +
(products of roots) = 0
= x² + (- 0/16)x + (-1/16) = 0
= x² - 0x/16 - 1/16 = 0
= 16x²/16 - 0x/16 - 1/16 = 0
= 1/16 ( 16x² - 0x -1 ) = 0
= 16x² - 0x - 1 = 0
OR
= 16x² -1 = 0
Answer:
hope that helps you,.......................................
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