Answer:
2 real solutions
Step-by-step explanation:
y = -x^2 + 3x + 5
First find the the discriminant:
using b² - 4(a)(b)
(3)²- 4(-1)(5)
=9+20
=29
since the discriminant is more than 0, there are 2 real solutions
Start with <span>x^2 +14x = -24,
Find HALF the value of 14: 7
Square this: 49
Add 49, and then subtract 49: x^2 + 14x + 49 - 49 = -24 We have a
perfect square
Rewrite the quadratic as the sq. of a binomial: trinomial on
the left
(x+7)^2 = 25
Take the sqrt of both sides: x+7 = plus or minus 5
Then x = -2 and x = -12</span>
For the second work sheet:
5 2/8 - 4 1/4= 1 so NO
8 3/4 - 7 1/2= 1 1/4 so YES
2 1/8 - 1 7/8= 1/4 so NO
9 5/12 - 8 1/6= 1 1/4 so YES
Sorry if its not enough explanation, hope it helps!
