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Solution


Q.

While designing the school yearbook, a teacher asked a student to increase both the length and width of a particular photo by x units each in order to double the photo’s area. The original photo is 18 cm long and 12 cm wide.

Based on the above information, answer the following questions

 

(ii) Write the corresponding quadratic equation in standard form.
1 0  
2 2  
3 5  
4 1  

Ans.

(1)

Simplifying equation (i), we obtain:

x² + 30x − 216 = 0

This is the required quadratic equation in standard form.