CBSE Class 10 Answered
Find the value of m so that quadratic equation mx(x-7)+49=0 has two equal roots
Asked by | 27 Oct, 2012, 09:04: AM
Expert Answer
Answer : Given :quadratic equation mx(x-7)+49=0
To find : the value of m so that quadratic equation has two equal roots.
=> mx(x-7)+49=0.....(1)
=> mx2 - 7mx +49 =0
it is a quadratic equation where a = m , b =-7m , c = 49
For equal roots D =0
D = b2 - 4ac =0
=> (-7m)2 - 4 (m)(49) =0
=> 49m2 - 4 m(49) =0
=> m2 -4m =0
=> m (m-4) =0
=> m =0 and m =4
Since m=0 is invalid here as by putting the value in the eq (1)
=> 0 + 49 = is not equal to 0
Therefore m=4 Answer
Answered by | 27 Oct, 2012, 07:22: PM
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