WebSum If one root of the equation 3x 2 + kx + 81 = 0 (having real roots) is the square of the other then find k Advertisement Remove all ads Solution Let α and α 2 be the root of the equation 3x 2 + kx + 81 Here a = 3, b = k, c = 81 α + α 2 = k - k 3 3α + 3α 2 = – k ... (1) Product of the roots = c a c a = 81 3 = 27 α × α 2 = 27 α 3 = 27 ⇒ α 3 = 3 3 WebAnswer (1 of 7): Given: Root : (3 - \sqrt{3}) Find the quadratic equation. Solution: We have one root and the other root is (3 + \sqrt{3}) You work backwards to form ...
3x^2 - Symbolab Math Solver
WebProof: Let a, a 2 be the roots of the equation. Then you get. 3 x 2 + p x + 3 = 3 ( x − a) ( x − a 2) = 3 x 2 − 3 ( a 2 + a) x + a 3, So you first have to solve a 3 = 1. This gives the three … WebHere are a few examples of the types of quadratic equations you will learn to solve: x^2=36 x2 = 36 (x-2)^2=49 (x −2)2 = 49 [Why is this a quadratic equation?] 2x^2+3=131 2x2 + 3 = 131 Now let's get down to business. Solving x^2=36 x2 = 36 and similar equations Suppose we want to solve the equation x^2=36 x2 = 36. bluebird lady and the white lion family
SOLUTION: If one root of a quadratic equation is 3-2i, find …
WebMay 1, 2024 · asked May 1, 2024 in Quadratic Equations by Fara (32.2k points) closed May 3, 2024 by Fara If 1 is a root of the quadratic equation 3x 2 + ax - 2 = 0 and the quadratic equation a(x 2 + 6x) - b = 0 has equal roots, find the value of b. WebNov 5, 2024 · If one root of the quadratic equation 3x2 + px + 4 = 0 is 2 3 2 3, then find the value of p and the other root of the equation. class-10 1 Answer +1 vote answered Nov 5, … WebIn Sal's completing the square vid, he takes the exact same equation (ax^2+bx+c = 0) and he completes the square, to end up isolating x and forming the equation into the quadratic formula. In other words, the quadratic formula is simply just ax^2+bx+c = 0 in terms of x. So the roots of ax^2+bx+c = 0 would just be the quadratic equation, which is: free html5 landing page template