3 years ago

Solve for x in the equation X2 - 10x+ 25 = 35.

Mathematics

1 answer:

zlopas [31]3 years ago

8 0

Answer:

x = 5 ± sqrt(35)

Step-by-step explanation:

X^2 - 10x+ 25 = 35.

Factor the left hand side. This is the difference of squares. a^2 -2ab - b^2 = (a-b)^2 where a = x and b = 5

(x-5) ^2 = 35

Take the square root of each side

sqrt((x-5) ^2) =± sqrt(35)

x-5 = ± sqrt(35)

Add 5 to each side

x-5+5 = 5 ± sqrt(35)

x = 5 ± sqrt(35)

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Solve for x in the equation X2 - 10x+ 25 = 35.​

Solve for x in the equation X2 - 10x+ 25 = 35.