Homework Help: 8th grade algebra: radicals

Posted by jenna on Friday, May 6, 2011 at 11:43pm.

please help me solve these

1. 2√5/8 + 4√3/8 - 1/2√68

2. √4k-5 +1=8
(the radical sign goes over 4k-5)

3. (x+4)*2 /3 =8

4. Write the value of the discriminant of each equation. Then use it to decide how many different real-number roots the equation has.
x*2-6x+2=0

8th grade algebra: radicals - L, Saturday, May 7, 2011 at 7:13am
Answer to number 3:

2/3(x+4) = 8
2(x+4) = 24
2x+8 = 24
2x = 16
x = 8
8th grade algebra: radicals - L, Saturday, May 7, 2011 at 7:17am
Answer to number 3 is wrong. (didn't realise it was x+4 to the power of two thirds. Sorry):
8th grade algebra: radicals - Reiny, Saturday, May 7, 2011 at 10:08am
Looks like Jenna is using * as the sign for exponents.
In #3 , no brackets were used around the 2/3, so it has to be read as

((x+4)^2)/3 = 8
then
(x+4)^2 = 24
x+4 = +/- sqrt(24)

x = -4 +/- 2sqrt(6)

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