[" 1."x^(2)+7x+10=0," 2."2x^(2)-8x+6=]

6x^(2)+7x-10=0

Find the roots of the following quadratic equations by factorisation : (1) x^(2)-3x-10=0 (2) 2x^(2)+x-6=0 (3) sqrt(2)x^(2)+7x+5sqrt(2)=0 (4) 2X^(2)-X+(1)/(8)=0 (5) 100x^(2)-20x+1=0

Add 7x^(2) -8x + 5, 3x^(2) -8x +5 and -6x^(2) + 15x - 5

(i) 15x^(2) - 8x + 1 = 0 (ii) 6y^(2) - 19y + 10 = 0

(a) Find the quare root of (x^(2) - 8x +15) (2x^(2) -11x + 5) (2x^(2) - 7x + 3)

Without solving , comment upon the nature of roots of each of the following equations : (i) 7x^(2)-9x+2=0 (ii) 6x^(2)-13x+4=0 (iii) 25x^(2)-10x+1=0 (iv) x^(2)+2sqrt(3)x-9=0 (v) x^(2)-ax-b^(2)=0 (vi) 2x^(2)+8x+9=0

Simplify the following : 5x^(4) - 7x^(2) +8x - 1 +3x^(2) - 9x^(2) + 7 - 3x^(4)+11x - 2 +8x^(2)