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  1. 1 day ago · Hint: Every quadratic equation is of the form \[a{x^2} + bx + c = 0\], here, \[a,b,c\] are real and rational numbers. We are going to find the roots of the equation or assume the roots of the equation. From that, we will solve the equation. Formula used: Sum of the roots:

  2. 3 days ago · The constant term of the equation will give the product of the two roots of the equation \[\dfrac{c}{a}\] . Now, using these properties, one could get to the solution. Complete step by step answer: Every quadratic equation is in the form, ${{x}^{2}}-Sx+P=0$(where ‘S’ is the sum of the roots and ‘P’ is the product the roots).

  3. Jun 26, 2024 · 1 likes. Hint: In order to find the inverse of a quadratic equation, we first convert it into a perfect square, then we solve it further to bring it in the form of f(x) = a(x − h)2 + k f ( x) = a ( x − h) 2 + k . We find the domain and range from here. After which, we represent our function f(x) f ( x) as y y and interchange the positions ...

  4. 5 days ago · Create a simple Table. You must first create a simple worksheet that contains the following information. This table can be used to solve any quadratic equation using Goal Seek. Create the following table and the following named ranges: "C3" = Avalue. "C4" = Bvalue. "C5" = Cvalue.

  5. 3 days ago · The values of $ x $ satisfying the quadratic equation are known as the roots of the quadratic equation. We can find the value of other roots by using the sum and the product formula of the roots. Complete step by step solution: As per the given question we have an equation $ 2{x^2} + kx - 6 = 0 $ and one of the roots is $ 2 $ . We will find the ...

  6. 4 days ago · 6.On simplifying, we will get the new quadratic equation of which \[{{\alpha }_{n}}\] is a root. Complete step-by-step answer: As mentioned in the question, we have to find the quadratic equation of which \[{{\alpha }_{n}}\] is a root. So, following the procedure given in the hint, we can get to the new quadratic equation as follows

  7. 5 days ago · Hint: To solve this we have to use the formula that is used to find the value of roots of a quadratic equation. the formula is \[\dfrac{{ - b \pm \sqrt {{b^2} - 4ac} }}{{2a}}\] put the values of \[a,b,c\]. From here we get the values of roots and equate those roots to the given roots in question and find the value of the known. while taking out from the root check sign of that term also.