if the roots of the quadratic equation a square + b square whole the (x square - 2) AC + BD (X + c square + b square is equal to zero are equal prove that a by b is equal to c y d
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Discriminant Δ≥0
4(ac+bd)2−4(a2+b2)(c2+d2)≥0
−4(ab−cd)≥0
Simplifying,
(ab−cd)2≤0
A square less than or equal to 0 is 0. This means that
(ab−cd)2=0 , or Δ=0
The roots are hence equal.
use this formula brother
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