In algebra, a quadratic equation can be written in the form:
ax2 + bx + c = 0
where x is the variable and a, b, c are the real numbers and a≠0. If a=0 then it will be a linear equation not quadratic because no second order term.
If quadratic equation has solution then it can be found by using the quadratic formula.
- Example-1: Solve the quadratic equation for x,
x2 + 10x -24 = 0
Solution: In the quadratic equation, we have,
a=1, b=10 and c=-24
Therefore the quadratic formula yields
Hence, two solutions for the above equations are:
x = 4/2 = 2,
And
x = -24/2 = -12
- Example-2: Solve the quadratic equation using factorization,
x2 + 2x - 15 = 0
Solution: Given equation,
x2 + 2x - 15 = 0
It can be factorize as,
x2 -3x + 5x - 15 = 0
x(x - 3) + 5(x - 3) = 0
(x - 3)(x + 5) = 0
Hence, two solutions for x are:
x = 3 and x = -5
Whether you're preparing for your first job interview or aiming to upskill in this ever-evolving tech landscape,
GeeksforGeeks Courses are your key to success. We provide top-quality content at affordable prices, all geared towards accelerating your growth in a time-bound manner. Join the millions we've already empowered, and we're here to do the same for you. Don't miss out -
check it out now!
Last Updated :
25 Apr, 2019
Like Article
Save Article