The Area Of The Grade 8 Curriculum Garden Is (x²+10x-75) Square Meters.What Are…

the area of the grade 8 curriculum garden is (x²+10x-75) square meters.What are the dimensions of the garden? with solution:​

Step-by-step explanation:

x²+10x-75 = 0

x² + 10x = 75

BY COMPLETING THE SQUARE

x² + 10x + (10/2*1)² = 75 + (10/2*1)²

x² + 10x + (5)² = 75 +(5)²

x² + 10x + 25 = 75 + 25

(x + 5)² = 100

By taking the square root of both sides of equation

√(x+5)² =√100

x + 5 = 10

x +5 -5 = 10 -5

x = 5m²

x+5 = -10

x +5 -5 = -10 -5

x = -15m²

(x -5)(x+15) = 0

The dimensions of the garden are: 5m² and 15m²

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