if the equation x(x+m)=12m^2+3m-x has equal roots then the value of m is
Answers
Given that the equation x(x + m) = 12m² + 3m - x has equal roots.
we have to find the value of m.
solution : here equation is x(x + m) = 12m² + 3m - x
⇒x² + mx = 12m² + 3m - x
⇒x² + mx - 12m² - 3m + x = 0
⇒x² + (m + 1)x + (-12m² - 3m) = 0
a/c to question,
equation has equal roots means discriminant must be zero.
∴ D = b² - 4ac = 0
⇒(m + 1)² - 4(-12m² - 3m) = 0
⇒m² + 2m + 1 + 48m² + 12m = 0
⇒49m² + 14m + 1 = 0
⇒(7m)² + 2(7m).1 + (1)² = 0
⇒(7m + 1)² = 0
⇒7m + 1 = 0
⇒m = -1/7
Therefore the value of m is -1/7
also read similar questions : given m is a real number not less than -1 such that this equation,
x²+2(m-2)x+m²-3m+3=0 has roots x₁,x₂ and x₁²+x₂² = 6
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Answer:
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