Answer:
The answer to your question is Two rational solutions
Step-by-step explanation:
Quadratic equation
6x² - 7x - 5 = 0
Process
- Multiply 6 by -5
6 x -5 = -30
- Find the prime factors of -30
-30 2
-15 3
- 5 5
1
- Find to numbers that added gives -7
this numbers are (2 x 5) = -10 and + 3
- Write this numbers in the equation instead of -7
6x² - 10x + 3x - 5
-Factor using like terms
2x(3x - 5) + 1(3x - 5)
(3x - 5)(2x + 1)
- Equal to zero
3x - 5 = 0 2x + 1 = 0
x₁ = 5/3 x₂ = -1/2
- Conclusion two rational solutions
