Frequently Asked Questions
What is a Quadratic Equation?
A quadratic equation is a second-degree algebraic equation.
What is the standard form of a Quadratic Equation?
The standard form of the quadratic equation is,
ax2 + bx + c = 0, where a ≠ 0, a, b, and c ∈ R
How to determine the nature of the roots of a quadratic equation?
Discriminant(D) of a quadratic equation helps to predict the nature of its roots. If D > 0, then the roots are real and distinct. If D = 0, then the roots are real and equal. If D < 0, then the roots are imaginary complex numbers.
How Many Roots Does Quadratic Equation Have?
A quadratic equation is a second-degree algebraic equation, hence, it has two roots.
How to apply the Quadratic Formula?
Formula for finding the roots of a quadratic equation, ax2+ bx + c = 0, is x = [–b ± √(b2 – 4ac)]/2a, a ≠ 0.
When will a Quadratic Equation have equal roots?
A given quadratic equation will have equal roots if the value of the discriminant(D) is equal to zero.
If two equations x2+ax+b = 0 and x2+cx+d = 0, have a common root, then what is the value of that root?
The value of the root is, (b – d)/(c – a), If two equations x2 + ax + b = 0 and x2 + cx + d = 0, have a common root. The solution for the same is added below: