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The quadratic equation with real co –efficients whose one root is 2 + √3 is ???????????/// |
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Answer» Step-by-step explanation: x2-4x+7-4√3 Step-by-step explanation: If 2+√3 is ONE of the root. The other root must be 2-√3Quadratic equation=x^2-(sum of roots)x+(product of the roots) =x^2-(2+√3+2-√3)x+(2+√3)(2-√3) =x^2-4x+2^2+(√3)^2-2*2*√3 =x^2-4x+4+3-4√3 =x^2-4x+7-4√3 __________________________ Additional information ❤ What is 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: (-b+-√b^2-4ac) / 2a. Hope this helped! ____________________________ What is a quadratic equation used for? In elementary algebra, the quadratic formula is a formula that PROVIDES the SOLUTION(s) to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring (direct factoring, GROUPING, AC method), completing the square, graphing and others. ____________________________ Hope it helps you ❤ |
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