Question

(5х - 11 = 4 пен (x-8)(х-3)=0;​

Answer 1

5x - 11 = 4
5x = 15
x = 3
------
(3-8)(3-3)=0
0=0
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Answer 2

To solve the equation 5x - 11 = 4, we can isolate the variable x by performing the necessary algebraic steps:

5x - 11 = 4

Adding 11 to both sides:

5x - 11 + 11 = 4 + 11

5x = 15

Dividing both sides by 5:

(5x)/5 = 15/5

x = 3

Now, let's solve the equation (x - 8)(x - 3) = 0 by applying the zero-product property, which states that if a product of two factors equals zero, then at least one of the factors must be zero.

Setting each factor equal to zero:

x - 8 = 0 or x - 3 = 0

Solving the first equation:

x - 8 = 0

Adding 8 to both sides:

x - 8 + 8 = 0 + 8

x = 8

Solving the second equation:

x - 3 = 0

Adding 3 to both sides:

x - 3 + 3 = 0 + 3

x = 3

So, the solutions to the equation (x - 8)(x - 3) = 0 are x = 8 and x = 3.