Question

guys please solve this question number 16.
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Answer 1

Step-by-step explanation:

α + β = 24

α - β = 8

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2α = 32

α = 16.

Substitute α = 16 in above equations, we get

⇒ α + β = 24

⇒ 16 + β = 24

⇒ β = 8.

Thus, the required quadratic equation is,

⇒ x² - (α + β)x + αβ = 0

⇒ x² - (16 + 8)x + (16 * 8) = 0

⇒ x²  - 24x + 128 = 0.

Hope it helps!