Problem:
Solve the discriminant: (2x - 3)(x + 5) = 0
Solution:
Solving the discriminant of quadratic equations.
Solve the standard form of equation.
- (2x - 3)(x + 5) = 0
- 2x² + 7x - 15 = 0
Find the value of a, b, and c.
Apply the formula in finding the descriminant. (Remember: D = b² - 4ac)
- D = b² - 4ac
- D = (7)² - 4(2)(-15)
- D = 49 - 4(-30)
- D = 49 + 120
- D = 169
Answer:
- Therefore, the discriminant is 169.
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