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Quadratic equation x2-7x equals 60

Updated: 4/28/2022
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10y ago

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x2 - 7x = 60

x2 - 7x - 60 = 0

(x - 12) (x + 5) = 0

x = 12 or x = -5

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10y ago
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Q: Quadratic equation x2-7x equals 60
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What is the variable in the equation 60 equals what times fifteen?

15x = 60 The variable is x.


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It looks like an incomplete equation.


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What is the length and width of a rectangle that's area is 60 square cm and it's perimeter is 38 cm?

Let the width be x and the length be y: xy = 60 2x+2y = 38 Divide all terns in the bottom equation by 2: xy = 60 x+y = 19 => x = 19-y Substitute the value of x in the bottom equation into the top equation: (19-y)y = 60 19y-y2 = 60 Rearrange the equation into a quadratic: -y2+19y-60 = 0 Solve by factoring or with the help of the quadratic equation formula: (-y+4)(y-15) = 0 So y = 15 or y = 4 it must be the former because it's larger Therefore: width = 4 cm and length = 15 cm