Connect with knowledgeable individuals and get your questions answered on IDNLearn.com. Get accurate and comprehensive answers to your questions from our community of knowledgeable professionals.

Compute the value of the discriminant and give the number of real solutions to the quadratic equation:
3x^2 - 7x + 9 = 0


Sagot :

[tex]ax^2+bx+c=0\\[/tex]
[tex]3x^2-7x+9=0[/tex]
a=3 b=-7 c=9
[tex]\Delta=b^2-4ac=(-7)^2-4*3*9=49-108=-59[/tex]
[tex]\Delta<0[/tex]
If the delta is less than zero and if no polynomial real roots
[tex]3x^2 - 7x + 9 = 0 \\ \\a=3, \ \ b=-7, \ \ c= 9 \\ \\ \Delta =b^2-4ac = 7^2 -4\cdot 3 \cdot 9 = 49-108= -59 \\ \\ If \ \Delta <0, \ then \ roots \ are \ imaginary \ (non-real)[/tex]