How to solve this math problem about Algebra?

For the equation $x^2 - 2(m+1)x + m^2 + 2m - 3 = 0$ to have two distinct roots $x_1, x_2$, the discriminant delta must be greater than 0. We have $a=1$, $b=-2(m+1)$, $c=m^2+2m-3$.

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📐 MathLevel 8 — 🔵 IntermediateAlgebra👁 19 views⏱ 2 min read

Find m for quadratic equation with roots satisfying condition

📝 Problem

Find all values of the parameter such that the quadratic equation x_1, x_2x_1 + x_2 = x_1x_2$.

✨Detailed Solution

For the equation x_1, x_2$, the discriminant delta must be greater than 0.

We have b=-2(m+1)c=m^2+2m-3$.

Calculate the reduced discriminant :

🔒 19 steps remaining

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For the equation x_1, x_2$, the discriminant delta must be greater than 0.

We have b=-2(m+1)c=m^2+2m-3$.

Calculate the reduced discriminant :

🔒 19 steps remaining