Math, asked by LaibaUK, 1 year ago

If the roots of the quadratic equation (a²+b²) x² - 2(ac + bd)x + (c² + d²) are equal then prove that a/b = c/d

Answers

Answered by RishabhRDX
23
Roots of quadratic equation is equal, so,

 {b}^{2}  = 4ac
Put the value of a, b and c in the formula and prove a/b=c/d...
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Attachments:

RishabhRDX: see... D = b2-4ac... we calculate D for checking the nature of roots
RishabhRDX: if D<0... roots are imaginary
LaibaUK: Hmm ryt...thnk u
RishabhRDX: if D>0... roots are real and unequal
RishabhRDX: here Roots were equal so D = b2-4ac
RishabhRDX: that means D is 0
RishabhRDX: b2-4ac =0
RishabhRDX: b2=4ac
RishabhRDX: please follow me
RishabhRDX: and press the thanks button
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