Class 10

Math

All topics

Quadratic Equations

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 $z$?

- $5z_{2}=(z+5)_{2}$
- $(5z)_{2}=z_{2}+5_{2}$
- $5_{2}z=z_{2}+5_{2}$
- $(5z)_{2}=(z+5)_{2}$
- $5z2=z_{2}+5_{2}$

According to Question

Product of $z$ and $5$ can be formally written as $_{′}5z_{′}$.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 $_{′}5z_{′}$ gives squaring $_{′}(5+z)_{′}$

So, $(5z)_{2}$ $=$ $(5+z)_{2}$

Therefore all possible values of $z$ can be found using $(5z)_{2}$ $=$ $(5+z)_{2}$.