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Equations have 'solutions', not roots.

Both of the solutions to this quadratic equation are x=5 .

(The expression on the left side is a perfect square. So the graph of the

expression is a parabola whose nose rests on the x-axis at x=5, and

both x-intercepts are at the same point.)

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Q: What are the roots of the equation x²-10x plus 25 equals 0?
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The ratio of two numbers is five sixths the second number is sixteen less than twice the first number find both numbers?

Ratio is 5:6, so Let x=the first number, and then 2x-16 = the second number.5/6 = x over (2x-16) : do cross multiplication5*(2x-16) = 6*x10x-80=6x (combine like terms, in this case, the variable x, by subtracting 10x on both sides)-80 = 6x-10 =-4x-80=-4x (to get x by itself, divide negative 4 on both sides)20 = x (negative divided by a negative equals a positive #)2x-16 = 2(20)-16 = 40-16 = 24The first # is equals 20 and the second # is equals 24, 20 to 24 is equals to ratio 5:6.


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A tree is 24 feet tall and casts a shadow of 10 feet At the same time a tower casts a shadow of 25 feet What is the height in feet of the tower?

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