If the roots of the equation (a²+b²)x²-2(ac+bd)x+c²+d²=0 are equal,prove thata/b=c/d
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Answer:
Step-by-step explanation:
since roots are equal, b² - 4ac = 0
4(ac+bd)² - 4(a²+b²)(c²+d²) = 0
a²c²+ b²d²+2abcd = a²c²+ b²d²+a²d²+b²c²
a²d² + b²c² - 2abcd = 0
(ad - bc)² = 0
ad = bc
a/b = c/d
= R.H.S
Hence proved.
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