Answer:
a = 4, p = 2, q = - 1
Step-by-step explanation:
Expand the right side of the identity, then compare the coefficients of like terms with those on the left side.
a(x - p)² + q ← expand (x - p)² using FOIL
= a(x² - 2px + p²) + q ← distribute parenthesis
= ax² - 2apx + ap² + q
Compare coefficients of x² term
a = 4
Compare coefficients of x- term
- 2ap = - 16, that is
- 2(4)p = - 16
- 8p = - 16 ( divide both sides by - 8 )
p = 2
Compare constant terms
ap² + q = 15 , that is
4(2)² + q = 15
16 + q = 15 ( subtract 16 from both sides )
q = - 1
Thus a = 4, p = 2, q = - 1
A(n)=a(1)+d(n-1), d=a(16)-a(15)=-5-(-53)=48
a(15)=a(1)+d*(15-1),
-53=a(1)+48*(15-1),
a(1)=-53-48*14= -725
a(n)=-725+48(n-1)
She stopped because:
| 2 x - 0.6 | ≠ -2 . It is absolute value and it can´t be equal to the negative number.
This equation has no solution.
Substitute the value of the variable into the expression and simplify 37
You should must check for an extraneous solution when the variable appears both inside and outside the absolute value expression
<h3>
What is an extraneous solution?</h3>
An extraneous solution is a solution that in obtained after completely solving an equation but it does not work in the original given equation.
You should must check for an extraneous solution when the variable appears both inside and outside the absolute value expression (Option D).
Learn more about extraneous solution: brainly.com/question/14054707
#SPJ1
