Math, asked by vaishnaviphadtare, 10 months ago

0=x²-5x+16 find x from the equation

Answers

Answered by rashiikhandelwal09
0

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.

Answered by sanjana25aug
0

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

Hope u like it

Please mark it as brainliest

Plzz

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