In xy-plane, Y = ax^2 + bx + c, does the graph intersect with X axis?1) a > 02) c < 0 … [Read more...] about DS – Quadratic, Parabola, and Inequalities
GMAT Quadratic Equations
GMAT Inequalities, Quadratic Equation
Inequalities is a big favorite of the GMAT test makers. Inequalities, especially presented as a data sufficiency question that appear in the GMAT test are many a times potential land mines.Here is an inequality question in the problem solving formatWhich of the following is correct if x is a real number and (x - 11)(x - 3) is negative?A. x^2 + 5x + 6 < 0B. x^2 + 5x + 6 > 0C. 5 … [Read more...] about GMAT Inequalities, Quadratic Equation
GMAT PS : Quadratic Equation : Parabola cutting x-axis
Here is a question testing concepts of Quadratic equation and nature of roots of quadratic equation. If y = x2 + dx + 9 does not cut the x-axis, then which of the following could be a possible value of d? I. 0 II. -3 III. 9 A. III only B. II only C. I and II only D. II and III only E. I and III only Correct Answer : Choice C. Values that 'd' could take are 0 or … [Read more...] about GMAT PS : Quadratic Equation : Parabola cutting x-axis
Quadratic Equations : Sum & Product of roots
Quadratic equations are equations of the form ax2 + bx + c = 0. A quadratic equation has two roots. These roots are found either by factorizing the quadratic equation or by using the formula $latex \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}&s=3$ Here is a typical quadratic equation question If m and n are the roots of the quadratic equation x2 - (2 √ 5)x - 2 = 0, the value of m2 + … [Read more...] about Quadratic Equations : Sum & Product of roots