The factored form of the quadratic equation x² - 2x - 3 = 0 is (x - 3)(x + 1)
<h3>How to factor quadratic equation?</h3>
The quadratic equation can be factored as follows;
x² - 2x - 3 = 0
Therefore, let's find the numbers we can multiply to get -3 and add to get -2.
x² + x - 3x - 3
x(x + 1) - 3(x + 1)
Therefore,
(x - 3)(x + 1)
Therefore, the factored form of x² - 2x - 3 = 0 is (x - 3)(x + 1)
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Answer:
c = 12.5
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem (a^2 + b^2 = c^2)
lets say 10 = a and 7.5 = b (this is because they are the legs of the triangle and variables a and b represent the legs of the triangle)
plug into the Pythagorean theorem.
10^2 + 7.5^2 = c^2
simplify (here you just square 10 and 7.5)
100 + 56.25 = c^2
simplify
156.25 = c^2
simplify
(here you get the square root of 156.25 and c^2, the positive square root of 156.25 is 12.5 and the square root of c^2 is c)
12.5 = c
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