Problem 1 Solve the equation for x Problem 2 Find the elemen

Problem 1 Solve the equation for x.

Problem 2 Find the elements of the resulting matrix.

Solve the equation for x. 2x x15 The solution set is (Simplify your answer. Use a comma to separate answers as needed) More

Solution

1.

Solving the determinant we get,

2x^2-7x=15
=>2x^2-7x-15=0
=>(2x+3)(x-5)=0
=>either 2x+3=0 or x-5=0
=>x=-3/2 or5

2.

Resulting elements of the matrix will be

aij-(bij/2)
ie the first element of the first row will be => -8-(-2/2)=-7

second element of the first row will be=> 2-(8/2)=-2

first element of the second row => 1-(6/2) =-2
second element of the second row=> -7-(-8/2) =-3

therefore the matrix will be [ -7 -2]
[ -2 -3]