If the equation x^2 - 2(m+1)x + (m^2 - 3) = 0 has equal roots, find the value of m. Form D = 0 and solve the resulting equation in m.

Question

Accepted Answer

m = -2. D = 0: [2(m+1)]^2 - 4(m^2 - 3) = 0 => 4(m+1)^2 - 4(m^2 - 3) = 0 => (m+1)^2 - (m^2 - 3) = 0 => m^2 + 2m + 1 - m^2 + 3 = 0 => 2m + 4 = 0 => m = -2.

If the equation $x^{2} - 2 (m + 1) x + (m^{2} - 3) = 0$ has equal roots, find the value of $m$ .
Form $D = 0$ and solve the resulting equation in $m$ .

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More Class 10 Nature of Roots (Discriminant) practice

If the equation x2−2(m+1)x+(m2−3)=0 has equal roots, find the value of m.Form D=0 and solve the resulting equation in m.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Nature of Roots (Discriminant) practice

If the equation $x^{2} - 2 (m + 1) x + (m^{2} - 3) = 0$ has equal roots, find the value of $m$ .
Form $D = 0$ and solve the resulting equation in $m$ .