Trig
posted by KC .
use a graphing utility to solve each equation, rounded to 2 decimal places
1. x^2  2sin2x = 3x
2. x^2 = x + 3cos2x

I don't have a graphing utility. If you don't either, use a hand calculator and iterate until you get x close enough to satsfying the equation. x=0 is one solution of the first equation. There is anotherin the vicinity of x=3.
If x = 3, x^2  2 sin 2x  3x = 0.558
If x = 2.9, x^2  2 sin 2x  3x = 0.174
If x = 2.8, x^2  2 sin 2x  3x = 0.071
If x = 2.7, x^2  2 sin 2x  3x = 0.037
If x = 2.74 x^2  2 sin 2x  3x = 0.007
Try x = 2.73. You can get closer by further iteration and interpolating
Use a similar method to solve the other equation
Respond to this Question
Similar Questions

algebra2
Plz Explain how to use a graphing calculator to solve the equation: x(x^2+2)=15. Then state the solution rounded to 2 decimal places. 
More trig
Use the Quadratic Formula to solve the equation in the interval [0,2pi). Then use a graphing utility to approximate the angle x. (1) 5/(tanx+secx) (2) 4cos^2x4cosx1=0 Thank you. 
GED MATH
You are given an equation of the form y = ax2 + bx + c. y = 4x2 + 2x − 3 (a) Use a graphing utility to graph the equation and to estimate the xintercepts. (Use a zoomin process to obtain the estimates; keep zooming in until … 
PreCalculus
1) Use a graphing utility to obtain the graph of the function. Give the domain of the function and identify any vertical or horizontal asymptotes. x+4/ x^2+x6. 2) Use a graphing utility to graph the function and determine the xintercepts … 
Algebra
Use a graphing utility to approximate the real solutions if any, of the given equation rounded to two decimal places. x^39x+1=0 
math
Use a graphing utility to approximate the solutions (to three decimal places) of the equation in the interval [0, 2π). 9x cos x − 9 = 0 
algebra
Solve the equation algebraically. Round the result to three decimal places. Verify your answer using a graphing utility. e−^8x − 6xe^−8x = 0 x = I need help solving this problem. 
math
Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval (pi/2, pi/2) a. 1 b. –1 c. 1/2 d. 2 e. 0 
maths
Use a graphing utility to approximate the solutions of the equation in the interval [0, 2Ï€). (Round your answers to three decimal places. Enter your answers as a commaseparated list.) 6 sin(x) + 3 cos(x) = 0 
PreCalc
Use a graphing device to find all solutions of the system rounded to two decimal places. x3y=1 y=x^35x^2 There are 3 possible answers. Thank you!