Factor the quadratic expression completely. 2 x 2 + 7 x + 3 = 2x 2 +7x+3=

x=-1/2,x=-3

Step-by-step explanation:

2x^2+7x+3=0

Multiply the coefficient of x,that is 2 by 3 to get 6.

The two values which when added gives 7 and when multiplied gives 6 is 1 and 6

2x^2+x+6x+3=0

x(2x+1)+3(2x+1)=0

(2x+1)(x+3)=0

2x+1=0

x=-1/2 and

x+3=0

x=-3

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92