Current location - Training Enrollment Network - Mathematics courses - Eighth grade mathematics real number examination questions
Eighth grade mathematics real number examination questions
(1) It is known that A and B are two roots of quadratic equation x 2 = 2-2x, which are derived from the relationship between roots and coefficients.

a+b=-2,ab=-2,

So A/B+B/A = (A2+B2)/(AB) = (2-2A+2-2B)/(-2) = (4-2 * (2))/(-2) =-4.

(2) According to the coefficients of the two equations, if the two roots of the first equation are p 1, p2, then the two roots of the second equation are 1/p 1/P2, and the relationship between the roots and the coefficients leads to p 1+p2=2, p65438.

Because p is not equal to 1/q,

So p2+1/Q2 = p12+p22 = (p1+p2) 2-2p1* p2 = 2 2-2 * (5) = 65438+.