It is too blurry to read it get a better camera
Log3 9=2
Explanation:
logo a= n <—> a = b^n
—-> 3^2 = 9 —> log3 9= 2
Multiply
(x+a)(x+b) = x^2 + bx + ax + ab
looking at; x^2 + 10x + 24
can you see that
ab = 24
bx + ax = 10x
then
a + b = 10
use substitution: a = 10 - b
(10-b)b = 24
10b - b^2 = 24
-b^2 + 10b -24 = 0
now find the values for b using the quadratic equation. I'm on my phone so you'll have to plug the numbers in. let me know if you have any questions.
The Pythagorean theorem tells you ...
... c² = a² + b²
... 13² = 12² + b² . . . . . fill in the given numbers
... 169 - 144 = b² . . . . .subtract 12²
... √25 = b . . . . . . . . . take the square root
... b = 5 . . . . . . The value of b you're looking for.
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The numbers {5, 12, 13} make what is called a "Pythagorean triple" a set of integers that satisfies the relation of the Pythagorean theorem. These, and the triple {3, 4, 5} are often seen in algebra problems. It can be worthwhile to remember these numbers.
