The quadratic equation has two complex (nonreal) solutions option (B) is correct.
Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a quadratic equation:
3x² + 4x = - 5
or
3x² + 4x + 5 = 0
D = b² - 4ac
b = 4, a = 3, c = 5
D = (4)² - 4(3)(5)
D = 16 - 60
D= -44
D < 0
Two complexes (nonreal) solutions
Thus, the quadratic equation has two complexes (nonreal) solutions option (B) is correct.
Learn more about quadratic equations here:
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