Find a Quadratic equation whose roots are 1.5+√2 and 1.5-√2​

x² - 3x + 0.25 = 0

Step-by-step explanation:

Given a root x = a then the corresponding factor is (x - a)

Given roots x = 1.5 + and x = 1.5 - then the factors are

(x - (1.5 + ) ) and (x - (1.5 - ) ) , that is

(x - 1.5 - ) and (x - 1.5 + )

The equation is then the product of the factors

(x - 1.5 - )(x - 1.5 + ) = 0 ← expand factors using FOIL

(x - 1.5)² - ( )² = 0

x² - 3x + 2.25 - 2 = 0

x² - 3x + 0.25 = 0

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answer: d.) the total number of protons and neutrons is 15

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