Question

Hello all what is quadratic Equation​

Answer 1

Answer:

Quadratic Equation:-

• If f(x) is a polynomial of degree 2, then f(x)=0 is called a quadratic equation.

• The general form of a quadratic equation is ax²+bx+c=0, where a, b and c are real numbers and a≠0. Here, x is the variable and a, b, c are the coefficients.

Roots of Quadratic Equation:-

• The values of variable satisfying the given quadratic equation are called roots of that equation.
• In other words, if x= α is a root of quadratic equation f(x)=0, then f(α)=0.
• The set of all roots of an equation, in a given domain, is called the solution set of the equation.
• The quadratic equation ax²+bx+c=0, where a,b,c∈R and a≠0 has two and only two roots,

i.e.

$\longrightarrow\bf\pink{\alpha=\dfrac{-b+\sqrt{b^{2}-4ac}}{2a}}$

$\longrightarrow\bf\blue{\beta=\dfrac{-b-\sqrt{b^{2}-4ac}}{2a}}$

Answer 2

Answer:

in algebra , a quadratic equation is any equation that can be rearranged in standard form as , where x represent as unknown , and a,b,c represent known , where a is not equal to 0 , if a is equal to 0 , then the equation is linear , not quadratic as there is no term