SOLUTION: I have two questions: 1. Find, rounded to two decimal places, the solution(s) to the equation 0 = 2x3 - 5x + 7. 2. Solve the equation x(x

SOLUTION: I have two questions: 1. Find, rounded to two decimal places, the solution(s) to the equation 0 = 2x3 - 5x + 7. 2. Solve the equation x(x - 2) = 7.

Question 310678: I have two questions:
1. Find, rounded to two decimal places, the solution(s) to the equation 0 = 2x3 - 5x + 7.
2. Solve the equation x(x - 2) = 7.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Looks like there is a root near .
f(x)=
f'(x)=
I used Newton's method to iterate,
x(n+1)=xn-f(xn)/f'(xn)
Starting with , the solution quickly converge to or to two decimal places,
.
.
.

Use the quadratic formula,

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