Section: Math Section 1

6) The equation x² = 5x —4 has how many distinct real solutions?

1. 0
2. 1
3. 2
4. 3
5. unknown

To solve a quadratic equation, put it in the “ax² + bx + c = 0” form, factor the left side, and set each factor equal to 0 separately to get the two solutions. To solve
x² = 5x — 4, first, rewrite it as x²- 5x + 4 = 0. Then factor the left side:

x²-5x+4=0

(x—1)(x—4)=0

x = 1 or 4