Equations with variable squared
X2 = 25
x = +or- 5
X3 = -126
x = -6
Hannah’s chess board is divided into 64 smaller squares and has an area of 256 in2. Write and solve an equation to find the dimensions of each small square.
2 in x 2 in
Square root x = 6
x = 36
Cube root of (2x) + 5 = 9
x = 32
7y2 + 100 + 149
x = +or- square root 7
2y3 + 21 = 13
y = -3
Find a number that is two less than the square root of the number 4
n = 36
Square root of z = -5
no real solution
Cube root of (5x + 2) = 3
x = 5
X2 + 4 = 18
x = +or- square root 14
4z3 + 5 = 21
z = cube root of 4
Find a number that is the square root of the difference of the number and 2 is 4.
n = 18
Square root of (x + 3) = 8
x = 61
3 x cube root (7y) = 6
y = 8/7
3b2 + 15 = 9
no real solution
3w3 - 10 = 29
w = cube root of 13
Find the approximate length of a pendulum that has a period of 2 sec. T = 2 x square root L
1 m
Square root y + 3 = 8
y = 25
4 x cube root (2w + 1) + 6 = 2
w = -1
M2 - 14 = 29
m = +or- square root 43
6(v3 + 4) = 72
v =2
Find the original length of a pendulum if doubling its length increase its period to 6 seconds. T = 2 x square root L
4.5 m
2 x square root z = 14
z = 49
-3 x cube root (2u -6) = -30
u = 503