the quadratic equation whose roots are 1-3^1/2 and 1+3^1/2 is
You are missing \(x\) somewhere
@gilbert936, we are missing \(x\) somehwere
i dont understand you
you know what! can you solve it or not
Ok. A quadratic equation has an \(x^2\) inside it. In your two roots, there is no \(x\), therefore, you cannot get a quadratic equation.
In your two roots, there HAS to be an \(x\) in the roots
Or else it would just equal a number. Tell me where the \(x\) is, then I can help solve it.
you can only solve the equation using sum of roots and product of roots, try it you will surely get the answer and thanks for trying my question
@gilbert936. We can do that, its just that you will get a number. Try it yourself: \[1-3^{1/2} *1+3^{1/2}\]\[=(1-3^{1/2} )(1+3^{1/2})\] Use the rule: \((a-b)(a+b)=a^2-b^2\)\[(1)^2-(3^{1/2})^2\]\[=1-3\]\[=2\] The problem is, we don't get a quadratic equation. A quadratic equation has a \(x^2\) inside of it. Since we don't have a \(2\) in either of the roots, there is no Quadratic equation, just a number
your answer is wrong
given alpha, beta as the roots of a quafratic equation, the equation is given as X^2-(alpha,beta)X + alphabeta=0 therefore alpha=1-13^1/2, beta=1+13^1/2 alpha+beta=2 alphabeta=(1-13^1/2)(1+13^1/2)=1-13=-12 the equation is X^2-2X-12
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