Need help Use the protractor to find the degree measure of the angle.
Make sure to write your answer with the degree sign.

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Use the protractor to find the degree measure of the angle.
Make sure to write your ans

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Ответ:

minnie7760

30.07.2020

Mathematics

x = (2 + √3) , (2 - √3)

Step-by-step explanation:

GIVEN :-

A quadratic polynomial x² - 4x + 1

TO FIND :-

Roots of the quadratic polynomial

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Quadratic formulae -

For a polynomial ax² + bx + c , its roots are :-

$x = \frac{-b + \sqrt{b^2 - 4ac} }{2a} \; ; \frac{-b - \sqrt{b^2 - 4ac} }{2a}$

SOLUTION :-

Use the quadratic formulae to find the roots of the polynomial.

$= x = \frac{-(-4) + \sqrt{(-4)^2 - 4 \times 1 \times 1c} }{2 \times 1} \; ; \frac{-(-4) - \sqrt{(-4)^2 - 4 \times 1 \times 1} }{2 \times 1}$

$= \frac{4 + \sqrt{16 - 4} }{2} \; ; \frac{4- \sqrt{16 - 4}}{2}$

$= \frac{4 + \sqrt{12} }{2} \; ; \frac{4- \sqrt{12}}{2}$

$= \frac{4 + 2\sqrt{3} }{2} \; ; \frac{4- 2\sqrt{3}}{2}$

$= \frac{2(2 + \sqrt{3})}{2} \; ; \frac{2(2- \sqrt{3})}{2}$

$= (2 + \sqrt{3} ) \; ; (2 - \sqrt{3} )$

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Need help Use the protractor to find the degree measure of the angle. Make sure to write your answer with the degree sign.