9. Determine the equation of the quadratic function that passes through (2,5) if the roots of the corresponding quadratic equation are 1+sqrt{5} and 1-sqrt{5}.

Question

Accepted Answer

Step:1 ：Given roots of the quadratic equation are (1 + sqrt{5}) and (1 - sqrt{5})Step:2 ：Write the quadratic function in the form (f(x) = a(x - r_1)(x - r_2))Step:3 ：Plug in the point ((2, 5)) to find the value of (a)Step:4 ：Solve for (a) to get (a = -1.25)Step:5 ：Final Answer: (boxed{f(x) = -1.25(x - (1+sqrt{5}))(x - (1-sqrt{5}))})

Answer

Step: 1 ：Given roots of the quadratic equation are (1 + sqrt{5}) and (1 - sqrt{5})Step: 2 ：Write the quadratic function in the form (f(x) = a(x - r_1)(x - r_2))Step: 3 ：Plug in the point ((2, 5)) to find the value of (a)Step: 4 ：Solve for (a) to get (a = -1.25)Step: 5 ：Final Answer: (boxed{f(x) = -1.25(x - (1+sqrt{5}))(x - (1-sqrt{5}))})

9. Determine the equation of the quadratic function that passes through $(2, 5)$ if the roots of the corresponding quadratic equation are $1 + \sqrt{5}$ and $1 - \sqrt{5}$ .

Answer

Popular Problems

9. Determine the equation of the quadratic function that passes through (2,5) if the roots of the corresponding quadratic equation are 1+5 and 1−5.

Answer

Popular Problems

9. Determine the equation of the quadratic function that passes through $(2, 5)$ if the roots of the corresponding quadratic equation are $1 + \sqrt{5}$ and $1 - \sqrt{5}$ .