If α and β are roots of equation x2 - 15x + 56 = 0 then find the val

1.	If α and β are roots of equation x2 - 15x + 56 = 0 then find the value of (α2 – β2) where α > β?1. 152. 123. 184. 20
Answer» Correct Answer - Option 1 : 15 Given: The given quadratic equation = x² - 15x + 56 Calculation: x² - 15x + 56 = 0 ⇒ x² - 8x – 7x + 56 = 0 ⇒ x(x - 8) - 7(x - 8) = 0 ⇒ (x - 8)(x - 7) = 0 ⇒ x = 7 and 8 So, α and β are 8 and 7 respectively. ∴ (α² – β²) = (8)² – (7)² = 15

If α and β are roots of equation x2 - 15x + 56 = 0 then find the value of (α2 – β2) where α > β?1. 152. 123. 184. 20

Answer» Correct Answer - Option 1 : 15

Given:

The given quadratic equation = x² - 15x + 56

Calculation:

x² - 15x + 56 = 0

⇒ x² - 8x – 7x + 56 = 0

⇒ x(x - 8) - 7(x - 8) = 0

⇒ (x - 8)(x - 7) = 0

⇒ x = 7 and 8

So, α and β are 8 and 7 respectively.

∴ (α² – β²) = (8)² – (7)² = 15

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If α and β are roots of equation x2 - 15x + 56 = 0 then find the value of (α2 – β2) where α > β?1. 152. 123. 184. 20

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