Answer:
see explanation
Step-by-step explanation:
Given
2x² + x - 1 = 2 ( subtract 2 from both sides )
2x² + x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 3 = - 6 and sum = + 1
The factors are - 2 and + 3
Use these factors to split the x- term
2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x + 3) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - 
1. 4 1/5
2. 11/24
3. 12 1/4
4. 2
5. 3 5/12
I did the math but I’m sorry if it’s not all correct
Answer:
x=-6 is an extraneous solution
Step-by-step explanation:
we have
squared both sides
solve the quadratic equation by graphing
The solution is x=-6 and x=-1
see the attached figure
<u><em>Verify each solution</em></u>
substitute the value of x in the original expression
For x=-6
----> is not true
so
Is an extraneous solution
For x=-1
----> is true
so
Is the solution
Equilateral means that the 3 sides are equal length. For this to happen, the triangle needs to also have 3 equal angles, but it is mentionned that it has an obtus angle, therefore, not all angles are the same, meaning the 3 sides also aren't equivalent.
the triangle isn't equilateral
This means that you have to move the decimal point 4 decimal places to the left, as denoted by the negative sign. Thus, this would add 3 zeros before 5. The answer would be 0.00059.
I hope the explanation was clear to you. Have a good day.
