Question

consider the quadrantic
equation x²+x+1=0
a)solve the quadrantic equation​

Answer 1

ɢɪᴠᴇɴ:

• A quadratic equation is given to us.
• The equation is x² + x +1 = 0.

ᴛᴏ ғɪɴᴅ:

• The possible values of x.

ᴀɴsᴡᴇʀ:

Given Quadratic equation is x² + x + 1 = 0.

Let's find its roots ,

Here we can see that the discriminant b²-4ac ,

= (1)² - 4× 1×1 .

= 1 - 4 = -3 .

Hence Discriminant is less than 0 , which means roots are complex . Lets apply quadratic formula ,

★ x = -b ±√b²-4ac/2a .

=> x = -1 ± √ (-3) / 2 × 1.

=> x = -1 ± √ (-1) × 3 / 2 .

=> x = -1 ± √-1 × √3 / 2 .

=> x = -1 ± 3i / 2.

=> x = -1+3i/2 , 1-3i/2.