-3;-2;-5;-7;3 x^2+6x+9=0: 解:x=-3 x^2+7x+10=0: 解:x=-2, x=-5 x^2+4x-21=0: 解:x=-7, x=3反馈 收藏
The meaning of QUADRATIC FORMULA is a formula that gives the solutions of the general quadratic equation ax2 + bx + c = 0 and that is usually written in the form x = (-b ±√(b2 — 4ac))/(2a).
Quadratic formula is one of the easiest methods of solving quadratic equations. To learn how to solve the quadratic equation using the quadratic formula, along with detailed derivation, steps and solved examples, visit BYJU'S today!
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Using the Quadratic Formula As mentioned, we can use the factored form of a quadratic function to determine the roots, or x-intercepts, of that function. However, sometimes a quadratic function does not factor easily, or at all. In these situations, in order to determine the real roots, ...
Using this quadratic formula, determine the positions along the beam at which the bending moment is zero (in engineering called the points of contraflexure). Sign in to download full-size image Figure 1.13. Propped cantilever When M = 0, we have: Wx22−5WLx8+WL28=0 We can solve this...
Apply the quadratic formula using Wolfram|Alpha Quadratic coefficient: Linear coefficient: Constant coefficient: Compute A useful tool for finding the solutions to quadratic equations quadratic formula 4x^2 + 4 x - 8 quadratic formula a = 1, b = -1, c = 2 ...
Example 2:Find the zeros of the quadratic function f(x) = x2+ 3x - 4 using the quadratic functions formula. Solution:The quadratic function f(x) = x2+ 3x - 4. On comparing f(x) with the general form ax2+ bx + c, we get a = 1, b = 3, c = -4 ...
Quadratic functions are also useful in the evaluation of the critical points of a cubic function and inflection points of a quartic function.Avoiding Loss of Significance while solving Quadratic Inequalities Although the quadratic formula provides an exact solution, the result is inaccurate if real numb...
Let us solve it using the Quadratic Formula:Where a, b and c are from the Quadratic Equation in "Standard Form": ax2 + bx + c = 0Solve 3x2 - 30x - 12 = 0 Coefficients are:a = 3, b = −30 and c = −12 Quadratic Formula:x = [ −b ±√(b2−4ac) ] / 2a ...