Solve
each of the following quadratic equations.
Each problem has a "hint" box
if you need help getting started. When you have
solved each problem, check your
answer by clicking the answer box. 

1. 
Solve
for y: y^{2 } 81= 0




2. 
Solve
for m: m^{2 }= 7m




3. 
Solve
for x: x^{2 } 3x  10 = 0




4. 
Solve
for y: 2y^{2 }+ 4 = 9y




5. 
Solve
for a: a^{2 }= 36




On to the harder problems!
6. 
Solve
for x:




7. 
Solve
for x:




8. 
The
square of a number is decreased by 15. This value is twice the
original number. Find the number(s).




9. 
The
product of two consecutive integers is 56. Find the integers. 



10. 
During
practice, a
softball pitcher throws a ball whose height can be modeled by the
equation h = 16t ^{2}^{ } +
24t +1, where h = height in feet and t = time in
seconds. How long does it take for the ball to reach a height of 6
feet? 



11. 
One
leg of a right triangle exceeds the other leg by four inches. The
hypotenuse is 20 inches. Find the length of the shorter leg of the
right triangle. 



12. 
A
baseball diamond is a square whose side is 90 feet. Approximate
the distance from home plate to second base, to the nearest foot. 



