Solve the problem.
-The graphs of $y = \sqrt { x }$ and $y = 5 - x ^ { 2 }$ intersect at one point $x = r$. Use Newton's method to estimate the value of $r$ to four decimal places.
A) $r \approx 2.9208$
B) $r \approx 1.9208$
C) $r \approx 1.9028$
D) $\mathrm { r } \approx 2.9028$

Question

Quizplus · Accepted Answer

To find the intersection, solve $\sqrt{x} = 5 - x^2$. Using Newton's method with an initial guess close to the intersection, the value converges to approximately 1.9028.

Solve the Problem y=xy = \sqrt { x }y=x​ And y=5−x2y = 5 - x ^ { 2 }y=5−x2

Solve the Problem $y = \sqrt { x }$ And $y = 5 - x ^ { 2 }$