X^2 - 4 Find the roots

1 answer:

8 0

Write the polynomial as an equation.
y=x^2-4

To find the roots of the equation, replace y with 0 and solve.
0=x^2-4

Replace y with 0 and solve for x
X^2-4=0

Add 4 to both sides of the equation
X^2=4

Take the square root of both sides of the equation to eliminate the exponent on the left side.
X= ±√4

The complete solution is the result of both the positive and negative portions of the solution.
X=2,-2

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An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it takes the carpenters 2 days. How

AleksAgata [21]

Answer:

6 days

Step-by-step explanation:

Let the time taken by Carpenter working alone = $C$ days

Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2 $C$ days

Time taken working together = 2 days

Work done in one day working together = $\frac{1}{2}$

Work done in one day by Carpenter working alone = $\frac{1}{C}$

Work done in one day by apprentice working alone = $\frac{1}{2C}$

Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone = $\frac{1}{C}$ + $\frac{1}{2C}$ = Work done in one day working together = $\frac{1}{2}$

$\dfrac{1}{C}+\dfrac{1}{2C}=\dfrac{1}{2}\\\Rightarrow \dfrac{2+1}{2C}=\dfrac{1}{2}\\\Rightarrow C = 3\ days$