Answer:
x=4 x = -3/2
Step-by-step explanation:
4x^2 – 7x = 3x + 24
Subtract 3x from each side
4x^2 – 7x-3x = 3x-3x + 24
4x^2 – 10x = 24
Subtract 24 from each side
4x^2 – 10 -24 = 24- 24
4x^2 -10x-24=0
Divide each side by 2
4/2x^2 -10/2x-24/2=0
2x^2-5x-12=0
Factor
(x - 4) (2 x + 3) = 0
Using the zero product property
x-4 =0 2x+3 =0
x=4 2x = -3
x=4 x = -3/2
Small number=S
Large number= L
Write the equations:
S=L/4
L-S=36
Plug the first one in the second one:
L-L/4=36
3L/4=36
L=48
Then S=L/4=48/4=12
Answer: Add 2 to each side
Step-by-step explanation:
9m-2=16
+2 +2
9m=18
