(x 2. 7). =0. Find x (2. x-3)?

FreshTheo

2 years ago

Answer 👇👇

Explanation

(x. 2. 7)=0
(2. x -3)


X(x-3) -2(2-3) +7(2-x)= 0

X²-3x+2 +14-7x=0
X²-10x+16=0

Use quadratic formula to find x

X=-b±√b²-4ac/2a

X= -(-10)±√(-10)²-4(1)(16)/2(1)

X= 10±√100-64/2

X= 10±√36/2

X1 = 10+6/2. Or x2= 10-6/2


X1= 16/2. Or x2= 4/2

X1=8. Or x2=2.


So the value of x is 8 and 2

All_for_one

2 years ago

To find the value of x in the equation:

|x 2 7|
|2 x -3|

where the determinant is equal to 0, you can use the formula for the determinant of a 2x2 matrix:

Det(B) = ad - bc

In this case, you have:

a = x, b = 2
c = 7, d = x - 3

Now, set the determinant equal to 0 and solve for x:

x(x - 3) - (2)(7) = 0

x(x - 3) - 14 = 0

Now, expand and solve for x:

x^2 - 3x - 14 = 0

To solve this quadratic equation, you can factor it or use the quadratic formula:

x^2 - 3x - 14 = 0

(x - 7)(x + 2) = 0

Now, set each factor equal to 0:

x - 7 = 0 or x + 2 = 0

Solve for x in each equation:

x = 7 or x = -2

So, there are two possible values for x: x = 7 or x = -2.