There is a step missing from the solution below which equation is the missing step ?
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Answer:
d)
Step-by-step explanation:
You get rid of the minus sign
5=sqrt(0.011x+13)
the you square LHS and RHS of the equation
5^2=(sqrt(0.011x+13))^2
25=0.011x+13
Square and square root are the inverse of each other. The square of a number cancel the square root of that number. The step missed in the solution is,
[tex]25=0.011x+13[/tex]
Thus the option D is the correct option.
Given information-
In the problem the solution is given for the under root equation,
The first step of the solution is,
[tex]P=10-\sqrt{0.011x+13}[/tex]
In the second step the value of P is putted,
[tex]5=10-\sqrt{0.011x+13}[/tex]
In the third equation the number 10 is subtracted from both sides,
[tex]-5=-\sqrt{0.011x+13}[/tex]
Forth and the missing step is to squaring both side,
[tex](-5)^2=(-\sqrt{0.011x+13})^2[/tex]
Use square and square root property for the result of above equation.
Square and root are the inverse of each other.The square of a number cancel the square root of that number.
This squiring results as,
[tex]25=0.011x+13[/tex]
Hence the step missed in the solution is,
[tex]25=0.011x+13[/tex]
Thus the option D is the correct option.
Learn more about the square and square root of a number here;
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