Question

6. (x + 3)* + (x + 2)* + (x + 1)^= 98​

Answer 1

x² + 1/x² = 98

x² + 1/x² + 2 = 100

(x + 1/x)² = 10²

x + 1/x = 10

(x + 1/x)³ = 10³

x³ + 1/x³ + 3×x×1/x×(x + 1/x) = 1000

x³ + 1/x³ + 3×10 = 1000

x³ + 1/x³ = 1000 – 30 = 970

Answer 2

x^(2)=98

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x = ± √ 98

The complete solution is the result of both the positive and negative portions of the solution.

Tap for more steps...

x = 7 √ 2 , − 7 √ 2

The result can be shown in multiple forms.

Exact Form:

x = 7 √ 2 , − 7 √ 2

Decimal Form:  x = 9.89949493 , − 9.89949493