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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