Expand and simplify
(x-3) (x-3) +2(x-3) -8=0
(x-3+2)(x-3)-8=0
(x-1)(x-3)-8=0
x^2 -4x +3-8=0
x^2 - 4x -5=0
x^2 -5x +x-5=0
x(x-5)+x-5=0
(x+1)(x-5)=0
x= - 1, 5
Answer:
3): 14
Step-by-step explanation:
The problem states that ABC and DEF are similar. Therefore, dsue to similar triangles, we have 7x/7=4/x, so x^2=4. Therefore, x=2 (because x cannot be negative). Therefore, AB = 7x = 7*2=14
Answer:
4/7x - 5 ________________________________________
Answer:
BD - AC = 0
Step-by-step explanation:
Given that:
BC = 36 , CD = 15 and BD = x
As these are forming right angled triangle,
Using Pythagorean theorem,

Taking square root on both sides

As the given shape is rectangular, the sides parallel to each other will have same values.
AB = 15 , AD = 36 and AC = x

Now,
BD - AC = 39 - 39 = 0
Hence,
BD - AC = 0