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

the giant fan palm produces the worlds largest seed.A seed has a mass of about 9.075 kg.what is the combined mass of 6 of these seeds?
Which equation is equivalent to 3x+4y=15
Why was the discovery of King Tutankhamen's tomb so important? A. No Egyptian tombs had been discovered until archaeologists found Tut's tomb. B. Previous excav
the numbers of proton in chromium-58
Which muscles are voljntary
You are stranded in a blizzard. You need water to drink to drink,and you're trying to stay warm.should the melt the snow and drink it or just eat the snow? Exp
Twelve less than the one-fifth of a number is -7 how do you write that in a equation ?
-2(5-4x)=? Please help solve
What is the implied main idea for alone on the hilltop by. Lame deer
Why do some cells divide more quickly than others?