Find the value of m so that the quadratic equation mx (5x - 6) + 9 = 0 has two equal roots
Last updated at Jan. 18, 2022 by
Transcript
Question 2 Find the value of ๐ so that the quadratic equation ๐๐ฅ(5๐ฅ โ 6) + 9 = 0 has two equal roots. Given equation ๐๐ฅ(5๐ฅ โ 6) + 9 = 0 5๐๐ฅ2 โ 6๐๐ฅ + 9 = 0 Comparing equation with ax2 + bx + c = 0 a = 5๐, b = โ6๐, c = 9 Since the equation has 2 equal roots, D = 0 b2 โ 4ac = 0 Putting values (โ6๐)2 โ 4 ร 5๐ ร 9 = 0 36๐2 โ 180๐ = 0 6(6๐2 โ 30๐) = 0 6๐2 โ 30๐ = 0 6(๐2 โ 5๐) = 0 ๐2 โ 5๐ = 0 ๐(๐ โ 5) = 0 Thus, ๐ = 0 and ๐ = 5 But, if ๐ = 0, then the equation would not be a quadratic equation So, ๐ = 0 is not possible โด Correct answer is ๐ = 5
CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [Term 2]
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CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [Term 2]
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