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Using formula method,construct the quadratic with the roots(3+root5)(3-root5) |
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Answer» Answer: x² - 6x + 4 = 0 Step-by-step explanation: The formula to construct a QUADRATIC EQUATION, when both of the roots are given is x² - (α + β)x + αβ = 0 Given : α = 3 + √5 β = 3 - √5 Solution : x² - (3 + √5 + 3 - √5)x + (3 + √5)(3 - √5) = 0 ⇒ x² - 6x + (9 - 3√5 + 3√5 - 5) = 0 ⇒ x² - 6x + 4 = 0 Hence the answer is x² - 6x + 4 = 0. Hoping that I have not made any mistakes, You're welcome. Hope you have found my answer useful. If my answer deserves a brainliest, do mark it, Thanks ! GeniusH |
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