The equation ax² + 5x - 3 = 0 has x = 1 as a solution. What is the other solution?

The equation ax² + 5x - 3 = 0 has x = 1 as a solution. What is the other solution?

Explanation

Given x = 1 is a solution, let's find 'a':

a(1)² + 5(1) - 3 = 0

a + 2 = 0

a = -2

The equation is -2x² + 5x - 3 = 0.

Let's factor or solve:

-2x² + 5x - 3 = 0

-2x² + 2x + 3x - 3 = 0

-2x(x - 1) + 3(x - 1) = 0

(-2x + 3)(x - 1) = 0

x = 1 (given) or x = 3/2

The other solution is x = 3/2.