Determine the nature of roots of quadratic equation x2 - 5x - 7=0.
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Step-by-step explanation:
I have to be able, and the
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Roots can be determined by the equation
b^2-4ac. (Where a=1,b=-5,c=-7)
So
b^2-4ac=25+28 =53 which is a positive number so we can conclude that both the roots are real and distinct
Hope you understood
If
b^2-4ac=0 (roots are real and equal)
b^2-4ac>0 (roots are real and distinct )
b^2-4ac<0(roots are imaginary /complex conjugates)
b^2-4ac. (Where a=1,b=-5,c=-7)
So
b^2-4ac=25+28 =53 which is a positive number so we can conclude that both the roots are real and distinct
Hope you understood
If
b^2-4ac=0 (roots are real and equal)
b^2-4ac>0 (roots are real and distinct )
b^2-4ac<0(roots are imaginary /complex conjugates)
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