Solve x^2 - 5x + 6 = 0 step by step
Lesson transcript
The full narration of this lesson in EN — read along, or revisit any part.
Hey Nyayadhishsumit2, let's solve a puzzle. [short pause] x squared minus 5x plus 6 equals zero. Watch this.
This is a quadratic equation. It looks like a parabola when you graph it.
Our goal is to find the x values that make this equation true. [short pause] We'll factor it.
So we rewrite the equation as x minus 2 times x minus 3 equals zero.
Now, if two things multiply to zero, one of them must be zero. [long pause] So x minus 2 equals zero, or x minus 3 equals zero.
Solve each one: x equals 2, and x equals 3. Those are our answers.
Think of it like finding the right keys for two locks. [short pause] Both 2 and 3 unlock the equation.
Got it, Nyayadhishsumit2? Onwards. [short pause] Factoring is just reverse multiplication — you can do it.