Question

PLEASE HELP ME RN!!!!!

Answer 1

Answer:

32,  2√7

Explanation:

given: $\sf \bold x^2+6x+2=0$

using quadratic formula:   $\boxed{\boxed{\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a}}}$

solve using the equation:

• $\sf x_{1,\:2}=\dfrac{-6\pm \sqrt{6^2-4\cdot \:1\cdot \:2}}{2\cdot \:1}$

• $\sf x_1=\dfrac{-6+2\sqrt{7}}{2\cdot \:1},\:x_2=\dfrac{-6-2\sqrt{7}}{2\cdot \:1}$

• $\sf x=-3+\sqrt{7},\:x=-3-\sqrt{7}$

given a > β

• so -3+√7 > -3-√7
• a =  -3+√7 and β = -3-√7

solve:

• (-3+√7)² + ( -3-√7)²
• 32

and

• -3+√7  - -3-√7
• 2√7