Construct an equation with roots √5+2,√5-2
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the equation formed by the roots is x^2-(2✓5)x+23.
neilthegreat009:
because we apply a^2-b^2 in the product.
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Step-by-step explanation:
Basic form of a quadratic equation is x^2 - (sum of roots)x + (product of roots)
Here sum of roots is 2root5 and product is (root5)^2 - 2^2 = 1
Therefore equation is x^2 - (2root5)x + 1
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