Solve 2x^2 + 12x = 10. a) -3 +- square root of 14 b) -3 +- 2 of square root of 2 c) -3 +- square root of 19 d) -3 +- square root of 29

We will start solving by moving the 10 over by subtraction and set the polynomial equal to 0 so we can factor. .  I am going to factor out the common 2 to make the numbers a bit smaller for when i put them into the quadratic formula. with a=1, b=6, c=-5.  Put that into the quadratic formula to get and which simplifies even further to .  If we simplify that radical it will simplify to .  We can pull the perfect square of 4 out as a 2, leaving us with .  So altogether we have .  The 2 in the denominator will reduce with the other integers (not the radicand!) to give us this as our final , choice A from above.

The only number less than 8 that can equal 12 would be 6, 36 is the dividend

It’s either a or c as the answer.