abihaz abihaz
  • 12-07-2021
  • Mathematics
contestada

Factorise x²-5 please

Respuesta :

ᴜᴋɪʏᴏ
ᴜᴋɪʏᴏ ᴜᴋɪʏᴏ
  • 13-07-2021

[tex]\sf \: {x}^{2} - 5[/tex]

[tex]\sf \: Use \: the \: algebraic \: identity \\ \sf \: a {}^{2} - {b}^{2} = (a - b)(a + b)[/tex]

[tex]\sf \: Substitute \: the \: value \: of \: a \: and \: b \: in \: the \: identity.[/tex]

[tex]\sf \: a = \sqrt{x ^{2} } = x \\ \sf \: b = \sqrt{5} [/tex]

[tex]\sf \: the \: identity \: becomes \: [/tex]

[tex]\sf {x}^{2} - 5 \\ \sf = (x - \sqrt{5} )(x + \sqrt{5} ) \\ [/tex]

Answer ⟶ [tex]\boxed{\bf{(x - \sqrt{5} )(x + \sqrt{5} )}}[/tex]

Answer Link

Otras preguntas

Is 30.249 greater or less than 30.429
what is 13,952 rounded to
How is the conflict between Bilbo and the dwarves resolved? a. The dwarves trust Bilbo and look to him for leadership. b. The dwarves give Bilbo a share of th
what is the nearest hundred of 403.12
a car's velocity changes from 32m/s to 96m/s in an 8.0-s period. what is its acceleration?
An independent clause is missing a subject stands alone cannot stand alone is missing a verb
Which philosopher wrote that the purpose of government is to secure citizens' lives and property? A. John Locke B. Charles de Montesquieu C. Justinian D. Thoma
some people who didnt agree with the puritans were?
What point of view provides information about others? a. first person b. second person c. third person
Acceleration can bea change in speed and.........?