Get clear, concise, and accurate answers to your questions on IDNLearn.com. Discover the information you need from our experienced professionals who provide accurate and reliable answers to all your questions.

Calculate the discriminant.

x
2 + 2x – 2 = 0 




Sagot :

[tex]x^2 + 2x - 2 = 0 \\ \\ a=1 , \ b=2 , \ c= -2\\ \\ \Delta = b^{2}-4ac = 2^{2}-4*1* (-2)= 4+8=12 \\ \\\sqrt{\Delta }=\1{12}= \sqrt{4*3}=2\sqrt{3}\\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{-2-2\sqrt{3}}{2}=\frac{2(-1-\sqrt{3})}{2} =-1-\sqrt{3} \\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{-2+2\sqrt{3}}{2}=\frac{2(-1+\sqrt{3})}{2} =-1+\sqrt{3} [/tex]