SOLUTION: Find the real solutions of the equation. Use a calculator to express any solutions rounded to two decimal places. x^4 + (x^2)•sqrt{2} - 2 = 0

Algebra ->  Decimal-numbers -> SOLUTION: Find the real solutions of the equation. Use a calculator to express any solutions rounded to two decimal places. x^4 + (x^2)•sqrt{2} - 2 = 0       Log On


   

Question 1207758: Find the real solutions of the equation. Use a calculator to express any solutions rounded to two decimal places.

x^4 + (x^2)•sqrt{2} - 2 = 0
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x^4 + (x^2)•sqrt{2} - 2 = 0
Let x^2 =p
p^2+sqrt(2)p-2 =0
Formula method
a = 1 b= sqrt(2) c = -2
b^2-4ac = 2 +8=10
p+=+%28-sqrt%282%29+%2B-+sqrt%2810%29%29%2F2
p+=+%28-sqrt%282%29+%2B+sqrt%2810%29%29%2F2 and p+=+%28-sqrt%282%29+-+sqrt%2810%29%29%2F2
p=x^2
x%5E2+=+%28-sqrt%282%29+%2B+sqrt%2810%29%29%2F2 and x%5E2+=+%28-sqrt%282%29+-+sqrt%2810%29%29%2F2
x^2 = 0.87 , x^2=-2.29
Continue to find x