GRE Algebra | Solving Quadratic Equations
ax2 + bx + c = 0
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 yieldsx = 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
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