" 7."x^(2)-2x+(3)/(2)=0

(2x+3)(3x-7)=0

If x^(2)+(1)/(x^(2))=7 and x!=0: find the value of 7x^(3)+8x-(7)/(x^(3))-(8)/(x)

Discuss the nature of the following quadratic equations without finding the roots i) x^(2)-12x+32=0 ii) 2x^(2)-7x+10=0 iii) 4x^(2)-20x+25=0 iv) 3x^(2)+7x+2=0

Discuss the nature of the following quadratic equations without finding the roots i) x^(2)-12x+32=0 ii) 2x^(2)-7x+10=0 iii) 4x^(2)-20x+25=0 iv) 3x^(2)+7x+2=0

The equation of normal to the curve y=2x^(3)-x^(2)+2 at ((1)/(2),2) is a) 2x-4y+7=0 b) 2x+y-3=0 c) x+y=0 d). 2x-y+3=0

(2x-3)/(3x-7)>0

If two of the roots of 2x^(3)+7x^(2)+2x-3=0 are differ by 2 then the roots are

If f(x)=4x^(2)+3x-7 and alpha is a common root of the equation x^(2)-3x+2=0 and x^(2)+2x-3=0 then the value of f(alpha) is

(2x ^ (2) + 3y ^ (2) -7) xdx- (3x ^ (2) + 2y ^ (2) -8) is = 0