SOLUTION: Help me please to solve this problem If {{{ x^2 - 5x - 1 = 0 }}}, what is the value of {{{ x^2 + 1/x^2 }}}?

Question 1044047: Help me please to solve this problem
If , what is the value of ?
Found 2 solutions by josgarithmetic, robertb:
Answer by josgarithmetic(39615) (Show Source): You can put this solution on YOUR website!
Solve the quadratic equation either by Completing The Square or directly using general formula for solution of quadratic equation; and then substitute the result in the requested expression.

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let be a root of this quadratic equation. Then its conjugate is also a root, which is given by .
===> , by property of the coefficient of x...

===> , after squaring both sides...

===>
RELATED QUESTIONS
pls help me to answer this problem: if x^2-5x+1=0, what is the value of x^4 +... (answered by MathLover1)
pls help me to answer this problem: If x^2-3x+1=0. What is the value of... (answered by Alan3354)
Please help me to solve this - If a , b are the zeroes to f the polynomial... (answered by robertb,ikleyn)
please help me solve this problem. y is equal to 3 more than the absolute value of x;... (answered by stanbon)
1.If 3x-11/2=5x^0,what is the value of x? 2.If 2x^-1=5/3,what is the value of x? 3.If... (answered by edjones)
Please help me solve this equation: If x = 3 + 2sqrt(2), what is the value of x^4 +... (answered by Edwin McCravy)
please help me solve this question for the value of x (5^-x)(5^x-1)=0 this is what i... (answered by jsmallt9)
Please help me solve this problem: Angle 1 is the complement of angle 2. If m<1 =... (answered by MathLover1)
Please help me solve this problem: Use the discriminant to predict how many and what... (answered by solver91311)