For equation 2m² = 5m - 5 find value of discriminant
Answers
Answered by
5
2m² = 5m - 5
2m² - 5m + 5 = 0
a=2
b= -5
c = 5
discriminant (d) = b² - 4ac
= (-5)² - 4(2)(5)
= 25 - 40
= -15
so, the answer is -15
hope it was helpful.....
Answered by
1
Given:
- Quadratic Equation = 2m² = 5m - 5.
To Find:
- Value of Discriminant (∆) = ?
Formula Used:
- ∆ = b² - 4ac.
Solution:
Let's bring the given equation in it's orginal quadratic equation form. i.e,
➛ 2m² - 5m + 5 = 0.
Comparing it with ax² + bx + c = 0.
Here,
a = 2.
b = -5.
c = 5.
Substituting values,
➙ ∆ = (-5)² - 4 × 2 × 5
➙ ∆ =25 - 8 × 5
➙ ∆ = 25 - 40
➛ ∆ = -15.
Hence,
- Value of Discriminant is -15.
ExtraShots:
- α + β = - b/a.
- α × β = c/a.
- α² + β² = (α + β)² - 2αβ.
- α³ + β³ = (α + β)³ - 3αβ × (α + β)
- α³ - β³ = (α - β)³ - 3αβ × (α - β)
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