The equation ax² + 5x - 3 = 0 has x = 1 as a solution. What is the other solution?
- 3/2
- -2
- 2
- None of these
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.
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