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The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4
<h3>Quadratic Equation</h3>Quadratic equation are polynomials with a second degree as it's highest power.
An example of a quadratic equation is
The given quadratic equation is
Let's rearrange the equation
This implies that
- a = 24
- b = 2
- c = -15
The equation or formula of quadratic formula is given as
We can substitute the values into the equation and solve
From the calculations above, the solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4
Learn more on quadratic equation here;
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Step-by-step explanation:
The ratio of the two shorter legs of the top triangle is
The bottom triangle has the following ratio:
Since their ratios are the same, this means that the two triangles are similar.