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Answers
Required Answer:-
Given:
- x² - 13x + 30 =
To find:
- αβ where α and β are the roots of the given equation.
Solution:
We know that,
➡ Product of zeroes = c/a
Here,
- a = 1 (coefficient of x²)
- b = -13 (coefficient of x)
- c = 30 (coefficient of x⁰)
So,
➡ αβ = 30/1
➡ αβ = 30
★ Hence, the product of zeroes is 30
If you don't know this formula, do in this way, ↓
➡ x² - 13x + 30 = 0
➡ x² - 3x - 10x + 30 = 0
➡ x(x - 3) - 10(x - 3) = 0
➡ (x - 10)(x - 3) = 0
Therefore, either (x - 10) = 0 or (x - 3) = 0
➡ x = 10, 3
➡ Hence, the roots are 10 and 3.
★ Product of zeros (αβ) = 10 × 3 = 30
Answer:
- αβ = 30
Required Answer:-
Given:
x² - 13x + 30 =
To find:
αB where α and β are the roots of the given equation.
We know that,
↪ Product of zeroes = c/a
Here,
a = 1 (coefficient of x²)
b = -13 (coefficient of x)
c = 30 (coefficient of x⁰)
So,
↪αB = 30/1
↪ αB= 30
✒Hence, the product of zeroes is 30
If you don't know this formula, do in this way, ↓
↪ x² - 13x + 30 = 0
↪ x² - 3x - 10x + 30 = 0
↪x(x - 3) - 10(x - 3) = 0
↪(x - 10)(x - 3) = 0
Therefore, either (x - 10) = 0 or (x - 3) = 0
↪ x = 10, 3
↪ Hence, the roots are 10 and 3.
↪Product of zeros (αB) = 10 × 3 = 30