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natta225 [31]
3 years ago
8

Does the parabola with equation x2– x + 6 = 0 have real or imaginary roots?

Mathematics
1 answer:
podryga [215]3 years ago
3 0

imaginary roots

to check the nature of the roots of a parabola in standard form :

ax² + bx + c = 0 : ( a ≠ 0 ) use the discriminant b² - 4ac

• If  b² - 4ac > 0 then roots are real and distinct

• If b² - 4ac = 0 then roots are real and equal

• If b² - 4ac < 0 then roots are not real

for x² - x + 6 = 0 with a = 1, b = - 1, c =  6

b² - 4ac = ( -1)² - (4 × 1 ×  6 ) = 1 - (  24 ) = 1 - 24 = - 23

since b² - 4ac < 0 then roots are not real ( imaginary )



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