Answer:
m = [tex]\frac{9}{5}[/tex]
Step-by-step explanation:
Given a quadratic equation in standard form ax² + bx + c = 0 ( a ≠ 0)
Then the discriminant Δ = b² - 4ac gives information on the nature of the solutions.
For the equation to have 1 solution we require b² - 4ac = 0
mx² - 6x + 5 = 0 ← is in standard form
with a = m, b = - 6, c = 5, then
b² - 4ac = 0
(- 6)² - (4 × m × 5) = 0
36 - 20m = 0 ( subtract 36 from both sides )
- 20m = - 36 ( divide both sides by - 20 )
m = [tex]\frac{-36}{-20}[/tex] = [tex]\frac{9}{5}[/tex]
