Step-by-step solutions» Wolfram Problem Generator» What are quadratic equations, and what is the quadratic formula? A quadratic is a polynomial of degree two. Quadratic equations form parabolas when graphed, and have a wide variety of applications across many disciplines. In physics, for exa...
We can also use the quadratic formula:We get two answers x+ and x− (one is for the "+" case, and the other is for the "−" case in the "±") that gets us this factoring:a(x − x+)(x − x−)Example: what are the roots of 6x2 + 5x − 6 ? Substitute a=6...
The power of the Quadratic Formula is that it can be used to solve any quadratic equation, even those where finding number combinations will not work.In our next two video examples, we will see, first, a quadratic equation with two real, rational solutions and, second, a quadratic equation...
Quadratic Formula Examples Compute the roots of the following quadratic equation: \(3x^2 - 2x + 4 = 0\) Solution: The following equation needs to be solved: \[ 3 x^2 -2 x + 4 = 0\] This corresponds to a quadratic equation. The following formula is used to find the solutions...
Step - 1: By comparing the given function with f(x) = ax2 + bx + c, we get a = 2, b = -8, and c = 3. Step - 2: Find 'h' using the formula: h = -b/2a = -(-8)/2(2) = 2. Step - 3: Find 'k' using the formula: k = f(-b/2a) = f(2) = 2(2)2 -...
A quadratic equation is of the form ax2 + bx + c = 0 where a ≠ 0. A quadratic equation can be solved by using the quadratic formula. You can also use Excel's Goal Seek feature to solve a quadratic equation.
What is the Quadratic Formula? The quadratic equation formula to solve the equation ax2 + bx + c = 0 is x = [-b ±√(b2 - 4ac)]/2a. Here we obtain the two values of x, by applying the plus and minus symbols in this formula. Hence the two possible values of x are [-b + ...
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This video provides examples of how to factor and solve quadratic equations when the equations are perfect square trinomials. Show Step-by-step Solutions Perfect Square Trinomials One special case when trying to factor polynomials is a perfect square trinomial. Unlike a difference of perfect squares,...
The formula is: x = (–b ±√(b² – 4ac)) / 2a Real-life example: In gym class, you throw a basketball into the air. The height of the ball (in meters) after you throw it is given by: h(t) = –5t² + 10t + 2 ...