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Squaring the product of z and 5 gives the same result as squar

Question

Squaring the product of $z$ and $5$ gives the same result as squaring the sum of $z$ and $5$ . Which of the following equations could be used to find all possible values of $z$ ?

5 z^{2} = (z + 5)^{2}

(5 z)^{2} = z^{2} + 5^{2}

5^{2} z = z^{2} + 5^{2}

(5 z)^{2} = (z + 5)^{2}

5 z 2 = z^{2} + 5^{2}

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Noah Discussed

Squaring the product of

z

and

5

gives the same result as squaring the sum of

z

and

5

. Which of the following equations could be used to find all possible values of

z

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

According to Question

Product of

z

and

5

can be formally written as

^{'} 5 z^{'}

Sum of

z

and

5

can be formally written as

^{'} (5 + z)^{'}

Squaring the product of

z

and

5

gives the same result as squaring the sum of

z

and

5

Formally, we can express the above statement as

Squaring

^{'} 5 z^{'}

gives squaring

^{'} (5 + z)^{'}

So,

(5 z)^{2}

=

(5 + z)^{2}

Therefore all possible values of

z

can be found using

(5 z)^{2}

=

(5 + z)^{2}

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Question Text	Squaring the product of $z$ and $5$ gives the same result as squaring the sum of $z$ and $5$ . Which of the following equations could be used to find all possible values of $z$ ?
Answer Type	Text solution:1
Upvotes	150

Squaring the product of z and 5 gives the same result as squaring the sum of z and 5. Which of the following equations could be used to find all possible values of z?

Text solutionVerified

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Squaring the product of $z$ and $5$ gives the same result as squaring the sum of $z$ and $5$ . Which of the following equations could be used to find all possible values of $z$ ?