Proof of the quadratic formula Algebra (video) Khan Academy?

Proof of the quadratic formula Algebra (video) Khan Academy?

WebThe discriminant. If \(kx^{2}+5x-\frac{5}{4}=0\) has equal roots, then \(b^2-4ac=0\). \(a=k\), \(b=5\) and \(c= - \frac{5}{4}\). \[b^2-4ac=0\] \[5^2 -4\times k \times ... WebThe answers that you found (for k) are when the discriminant equal 0 (b^2-4ac=0) -- which means that the function has only one solution. When you graph (k+4)^2-4(k+7), you get a … action 37170 WebThe calculator solution will show work using the quadratic formula to solve the entered equation for real and complex roots. Calculator determines whether the discriminant \( (b^2 - 4ac) \) is less than, greater than or … WebAnswer (1 of 2): According to the fundamental theorem of algebra, the order of the equation dictates the number of solutions, provided we include repeated or complex solutions. Including repeated and complex solutions: Linear equations have one solution. Quadratic equations have two solutions.... action 360 valor WebThe roots of the quadratic equation ax 2 + bx + c = 0, a ne 0 are given by the following formula: In this formula, the term b 2 - 4ac is called the discriminant. If b 2 - 4ac = 0, then the equation has two equal roots. If b 2 - 4ac > 0, the equation has two real roots. If b 2 - 4ac 0, the equation WebThe standard form of a quadratic equation is: ax 2 + bx + c = 0, where a, b and c are real numbers and a != 0 . The term b 2; - 4ac is known as the discriminant of a quadratic equation. It tells the nature of the roots. If the … action 360 camera Web- If b2 – 4ac > 0 then the quadratic function has two distinct real roots. - 2If b – 4ac = 0 then the quadratic function has one repeated real root. - If b2 – 4ac < 0 then the quadratic function has no real roots. Practice questions 1 2The equation kx + 4x + (5 − k) = 0, where k is a constant, has 2 different real solutions for x. (a ...

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