Question
Equation 1: 2x2 - 21x + 54 = 0
Equation 2: 4y2 - 23y + 15 = 0 Difference between the roots of equation 1 is approximately how much% more or less than the sum of roots of equation 2 ?Solution
We know that, Difference = (√(b2 – 4ac))/a = √(441 – 432)/2 = 3/2 = 24/16 (Multiplying Numerator and Denominator by 8) Sum = -b/a = 23/4 = 92/16 (Multiplying Numerator and Denominator by 4) Required % = (92 – 24)/92 × 100 = 73.91%
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