[" 5.Discuss the signs of the following quadratic expressions when "x" is real."],[[" (i) "x^(2)-5x+4," (ii) "x^(2)-x+3]]

Discuss the signs of the following quadratic expressions when x is real. x^(2)-x+3

Discuss the signs of the following quadratic expressions when x is real. x^(2)-5x+4

Discuss the sign of the following expressions when x is real i) x^(2)-5x+6 ii) x^(2)-x+3

Discuss the sign of the following expressions when x is real i) x^(2)-5x+6 ii) x^(2)-x+3

Find, using the quadratic formula, the roots of the following quadratic equations, if they exist (i) 3x^(2)-5x+2=0 (ii) x^(2)+4x+5=0

At what values of x in R the following quadratic expressions have maximum or minimum values i) x^(2)+5x+6 ii) 2x-x^(2)+7

At what values of x in R the following quadratic expressions have maximum or minimum values i) x^(2)+5x+6 ii) 2x-x^(2)+7

Find the changes of sign of the following expressions and find extreme values i) 15+4x-3x^(2) ii) 4x-5x^(2)+2

Find the nature of roots of the following quadratic equations. If the real roots exist, (i) 2x^(2)-3x+5=0 (ii) 3x^(2)-4sqrt3x+4=0 (iii) 2x^(2)-6x+3=0