shrimptonheidi shrimptonheidi
  • 24-03-2024
  • Mathematics
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Solving Harder Equations- Question 22

Solving Harder Equations Question 22 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 24-03-2024

Answer:

10.5

Step-by-step explanation:

let the number be x, then subtract 20 is (x - 20) and square the result, that is

(x - 20)²

If I square the number, that is x² and subtract 20, then x² - 20

equate the two expressions

(x - 20)² = x² - 20 ← expand left side using FOIL

x² - 40x + 400 = x² - 20 ( subtract x² from both sides )

- 40x + 400 = - 20 ( subtract 400 from both sides )

- 40x = - 420 ( divide both sides by - 40 )

x = 10.5

The number is then 10.5

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