Sum
For each equation given below find the values of m so that the equation has equal roots. Also find the solution of equation
`3x^2 + 12x + (m + 7) = 0`
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Solution
`3x^2 + 12x + (m + 7) = 0`
Here a = 3, b = 12 and c= m + 7
Given equation has equal roots then D = 0
`=> b^2- 4ac = 0`
`=> (12)^2 - 4(3)(m + 7) = 0`
=> 144 - 12m - 84 = 0
=> -12m = -60
=> m = 5
Put value of m in given equation
`3x^2 + 12x + 12 = 0`
`=> x^2 + 4x + 4 = 0`
`=> (x + 2)^2 = 0`
`=> x = -2`
Is there an error in this question or solution?
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