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If zeros of quadratic equation are …

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If zeros of quadratic equation are resiprocal of eachother 3x²-10x+k .Thae find value of k.
  • 3 answers

Chandan Kumar 6 years, 1 month ago

3

Gaurav Seth 6 years, 1 month ago

Given in the question the equation:

3x² - 10x + k = 0

suppose 1st root of this equation is r

so as stated in the question, second root of this equation will be 1/r

Adding the roots gives = −b/a
Multiplying the roots gives =  c/a
a        b       c

3x² - 10x + k = 0


r x 1 / r = c / a

r / r = k / 3

1 = k / 3

3 = k

3
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