If the roots of the quadratic equation X2 + 12x + a = 0 are real and equal, then find
the value of a.
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8
Answer:
Given: equation x
2
+12x+36=0
To find the roots of the equation
Sol:
x
2
+12x+36=0
⟹x
2
+6x+6x+36=0
⟹x(x+6)+6(x+6)=0
⟹(x+6)(x+6)=0
⟹x=−6,−6
Hence roots are equal.
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