Find a quadratic equation with integer coefficient ,if one of the roots is 7-root3

Mathematics

1 answer:

solmaris [256]3 years ago

6 0

One of the roots of a quadratic equation is 7 - √3.

Because rational roots occur in conjugate pairs, the other root is 7 + √3.
The quadratic equation is
(x -(7-√3))(x - (7+√3))
= x² - (7+√3)x - (7-√3)x + (49-3)
= x² - 7x - (√3)x - 7x + (√3)x + 46
= x² - 14x + 46

Answer: x² - 14x + 46

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