Question

Adratic formula to solve. Express your ans 12w^(2)+21w+10=3w^(2)

Answer 1

-2/3, -5/3.

Explanation:

12w^(2)+21w+10=3w^(2)

9w^(2)+21w+10=0

Using the quadratic formula:

w = (-21 +/- √(21^2 - 4*9*10) / (2*9)

= (-21 +/- √(441-360) / 18

= -21/18 +/- √81/18

= -7/6 +/- 1/2

= -2/3, -5/3.

Answer 2

Explanation:

12w²+21w+10=3w²

12w²-3w²+21w+10=0

9w²+21w+10=0

(3w+5)(3w+2)=0

3w+5=0 (or) 3w+2=0

3w=-5 (or) 3w=-2

w=-⁵/₃ (or) w=-²/₃