Answer:
Equation 1. x = 0, 6
Equation 2. No real solution.
Step-by-step explanation:
Quadratic equations are
3x = 0.5x² and 0 = 5x² - 2x + 6
We have to solve these equations for the value of x.
a). 0.5x² = 3x
Divide the equation by 0.5
x² = 6x
x² - 6x = 0
x(x - 6) = 0
x = 0 or x = 6
b). 5x² - 2x + 6 = 0
We will find the discriminant of the given equation.
[tex](-2^{2}-4\times 5\times 6)=4 - 120[/tex]
= -116
Since the discriminant of this equation is negative, solution of the equation will be imaginary.
