Question #cb311

1 Answer
Jim G.
Feb 26, 2018

#"see explanation"#

Explanation:

#"given a quadratic ( polynomial of degree 2) in standard form"#

#•color(white)(x)ax^2+bx+c color(white)(x);a!=0#

#3x^2-5x-2=0" is in standard form"#

#"with "a=3,b=-5" and "c=-2#

#"the value of the discriminant is found using"#

#•color(white)(x)Delta=b^2-4ac#

#"color(white)(xxxx)=(-5)^2-(-24)=49#

#"hence roots are real, distinct and rational"#

#color(blue)"nature of the roots"#

#• " if "Delta>0" then roots are real, distinct and irrational"#

#• " if "Delta>0" and a perfect square"#
#color(white)(xxxx)"roots are real,distinct and rational"#

#• " if "Delta=0" roots are real and equal"#

#• " if "Delta<0" roots are not real"#

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