Question

Find the range of values of m for which line y = 5-mx does not meet Intersect the curve x² + y = 16​

Answer 1

Δ
`=(-m)^2-4`
`\bullet\left(-11\right) > 0`
`\ ,the\ number\ of\ intersection:`
`2,intersection:`
`\left((m)/(2)+(√(44+m^2))/(2),5-(m\left(m+√(44+m^2)\right))/(2)\right)`
`,\left((m)/(2)-(√(44+m^2))/(2),5-(m\left(m-√(44+m^2)\right))/(2)\right)`

Explanation:

`Analyze\ the\ intersection\ of\ y=5-mx\ and\`

`x^2+y=16:`

`\downarrow`

Δ
`=(-m)^2-4\bullet\left(-11\right) > 0\ ,the\ number\ of`

`intersection:\ 2,intersection:`

`\left((m)/(2)+(√(44+m^2))/(2),5-(m\left(m+√(44+m^2)\right))/(2)\right),`

`\left((m)/(2)-(√(44+m^2))/(2),5-(m\left(m-√(44+m^2)\right))/(2)\right)`

I hope this helps you

:)