0=x²-5x+16 find x from the equation
Answers
Answer:
Step-by-step explanation:
X^2-5x+16=0
Simplifying
x2 + 5x + 16 = 0
Reorder the terms:
16 + 5x + x2 = 0
Solving
16 + 5x + x2 = 0
Solving for variable 'x'.
Begin completing the square.
Move the constant term to the right:
Add '-16' to each side of the equation.
16 + 5x + -16 + x2 = 0 + -16
Reorder the terms:
16 + -16 + 5x + x2 = 0 + -16
Combine like terms: 16 + -16 = 0
0 + 5x + x2 = 0 + -16
5x + x2 = 0 + -16
Combine like terms: 0 + -16 = -16
5x + x2 = -16
The x term is 5x. Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.
Add '6.25' to each side of the equation.
5x + 6.25 + x2 = -16 + 6.25
Reorder the terms:
6.25 + 5x + x2 = -16 + 6.25
Combine like terms: -16 + 6.25 = -9.75
6.25 + 5x + x2 = -9.75
Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = -9.75
Can't calculate square root of the right side.
The solution to this equation could not be determined.
Answer:very simple
Step-by-step explanation:
Given
x2-5x+16=0
Find all possible addition subtraction so that you can get -5
U will see that 3 and 2 are the best match to find x in the following equation
So by splitting the middle term
x2-2x-3x+6=0
x(x-2)-3(x-2)
U get
(x-3) and (x-2)
So x=2 and x=3
These are the values of x
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