When you have an expression to the power of (1/2) that means the same thing as having a square root.
Lets call a=x
To get rid of the square root we square both sides getting:
2x^2+5x+2= 3^2
Simplifying this we get: 2x^2+5x+2=9
We can subtract 9 from both sides getting: 2x^2+5x-7
Now when we solve for this we can use the quadratic formula:
(-b +/- sqrt(b^2-4ac)) / 2a
a=2 , b=5 , c=-7
Plugging in we end up with : (-5 +/- sqrt(81)) /4
This simplifies to : (-5 +/- 9) / 4 ..... (-5+ (-9))/4 OR (-5-(-9))/4
we have x= -14/4 , 1
Answer:
Step-by-step exAnswer:(-2, 2)
Step-by-step explanation:
7q² - 28 = 0
Add 28 to bothside
7q² - 28 + 28 = 0+ 28
7q² = 28
Divide bothside by 7
7q² / 7 = 28/7
q² = 4
Take the square root of bothside
√q² = ±√4
q = ± 2
q = -2 or q =2
q = (-2, 2)
Answer:
Step-by-step explanation:
Convert these mixed fractions to improper fractions.
3 3/5 = 18/5
-8 1/3 = -25/3
Now, it is easier to multiply them. Multiply the numerators and the denominators.
<u>18</u> x <u> </u> <u>25</u> = <u>450</u>
5 3 15
Simplify the final answer by dividing 450 ÷ 15, which is 30.
Step-by-step explanation: