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Illusion [34]
3 years ago
9

Use square roots to solve x2 - 10x + 25 = 144

Mathematics
2 answers:
Vilka [71]3 years ago
8 0

Answer:

x = 7

Step-by-step explanation:

Factor the problem to get (x - 5)^2 = 144

Square root to get x + 5 = 12

Subtract 5 to get x = 7

EastWind [94]3 years ago
7 0

Answer: x = 17

Step-by-step explanation: Factor the equation to get

(x - 5)² = 144

Take the square root of each side to get

x - 5 = 12 Add 5 to both sides.

x = 17

Check:

17² - 10(17) + 25 = 144

289 - 170 + 25 = 144

119 +25 = 144. true.

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Answer:

(x-2), (x+2), (3x-5)

Step-by-step explanation:

Factors of 3: ±1, ±3

Factors of 20: ±1, ±2, ±4, ±5, ±10, ±20

Possible factors of the polynomial: ±1, ±2, ±3, ±4, ±5, ±10, ±20, .... (there's a lot more but you probably do not need to list them all)

Pick a number to divide the polynomial by (I picked 2)

(3x³-5x²-12x+20)÷(x-2) = 3x²+x-10

So (x-2) is a factor of f(x) = 3x³-5x²-12x+20

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