Discriminant and the number of real roots for this equation are 0, one real root.
Discriminant of a polynomial in math is a function of the coefficients of the polynomial.
The discriminant of a quadratic equation ax2 + bx + c = 0 is in terms of its coefficients a, b, and c. i.e.,
Discriminant = [tex]\sqrt{b^{2} -4ac}[/tex]
Given equation
[tex]4x^{2} +12x+9 = 0[/tex]
Discriminant = [tex]\sqrt{b^{2} -4ac}[/tex]
= [tex]\sqrt{12^{2}-4(4)(9) }[/tex]
= [tex]\sqrt{144-144}[/tex]
D = 0
Therefore, number of real roots is one.
Hence, discriminant and the number of real roots for this equation are 0, one real root.
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