The quadratic equation with real co –efficients whose one root is 2 + √3 is ???????????///
Answers
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
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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!
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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.
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Hope it helps you ❤