What is the discriminant formula? The discriminant formula is d=b^2-4ac given the equation of the quadratic is f (x)=ax^2+bx+c. The formula derives from the quadratic formula.

If you think about the quadratic formula for the solutions of ax^2 + bx+c=0 you'll see that the roots are (i) repeated/equal if b^2 - 4ac =0 (ii) distinct if b^2 - 4ac >0 (iii) complex and conjugate (or there are no …

Question 1041402: Substitute the values for a, b, and c into b2 4ac to determine the discriminant. Which quadratic equations will have two real number solutions? (The related quadratic function will have …

What is the quadratic formula used for? This lesson will explain the quadratic formula. Study the formula's history, and view examples of the quadratic formula in use.

Question 36483: Use the quadratic formula to solve a quadratic equation ax^2 + bx + c = 0, the discriminant is b^2-4ac. This discriminant can be positive, zero, or negative.

----- if b^2-4ac = 0, then you have one real root. if b^2-4ac = positive you have two real roots. if b^2-4ac = positive and a perfect square you have two real integer roots. This assumes that a and c are also …

Question 229435: Find b2 - 4ac and the number of real solutions to each equation. -3x2 + 7x = 0 The 2 next to the x is a to the power 2. I have no idea where to start for this problem how do I find b2 - ac, I …

Learn all about conic sections, including their equations, with our bite-sized video lesson! Discover the eccentricity formula, and test your skill with a quiz.

When b^2-4ac is not equal to a perfect square (like 27), there are two irrational solutions because the square root of any number that is not a perfect square is irrational.

if b^2 - 4ac is smaller than 0, then the roots are not real which means that the equation does not cross the x-axis. If a is less than 0, this means that the graph of the equation points up and opens down.