Need help with a few Algebra problems because I can't really do this atm. Problem 1:
x^2 - 13x - 41 = 4
Step 1: x^2 - 13x - 36 = 0
Step 2: (x-9)(x+4) = 0
Step 3: x - 9 = 0 x + 4 = 0
Step 4: x = 9 x = 4

There is a mistake in there. How should it be fixed?

Problem 2:
x^3 - 16x = 0
Step 1: (x-4)(x+4)
Step 2: x-4 = 0 x+ 4 = 0
Step 3: x = 4 / x = -4

If one of these steps are incorrect, list it and tell me how to fix it.

Problem 3:
2x^2 - 7x 3 = 1
Step 1: 2x^2 - 7x - 4 = 0
Step 2: x^2 - 7x - 4 = 0
Step 3: (x-8)(x+1) = 0
Step 4: (x-)(x+) = 0
Step 5: (x-2)(4x+1) = 0
Step 6: x - 2 = 0 4x + 1 = 0
Step 7: x = 2 x = -

One of these steps is incorrect, Tell me how to fix it along which step it is.

Show work for all 3 problems.

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length

step-by-step explanation:

the answer is 1/4

step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.