Question

x^2-2x-15 Factories
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Answer 1

x^2 - 2x - 15

x^2 - 2x +1 - 16

(x - 1)^2 - 4^2

(x - 1 - 4)(x - 1 + 4)

(x - 5)(x + 3)

using

x^2 - y^2 =( x - y)(x + y)

Answer 2

$\bf{\huge{\underline{\boxed{\sf{\red{Answer:}}}}}}$

$\bf{\underline{\underline{\sf{\blue {Given\:Equation:}}}}}$

• x² - 2x - 15

$\bf{\underline{\underline{\sf{\blue {To\:find\::}}}}}$

• Value of x

$\bf{\underline{\underline{\sf{\blue {Solution:}}}}}$

=> $\sf{x^2\:-5x\:+3x\:-\:15\:=\:0}$

=> $\sf{x\:(\:x\:-5)\:3\:(\:x\:-\:5)\:=\:0}$

=> $\sf{(x\:-\:5)\:\:\:\:\:(\:x\:+\:3\:)=\:0}$

=> $\sf{x\:-\:5\:=\:0\:\:\:OR\:\:\:\:x\:+\:3\:=\:0}$

=> $\sf{x\:=\:5\:\:\:\:\:OR\:\:\:\:x\:=\:-\:3}$

$\bf{\huge{\underline{\boxed{\sf{\red{Verification:}}}}}}$

When x = 5,

Equation :-

x² - 2x - 15 = 0

Substitute x = 5 in equation,

=> (5)² - 2 ( 5) - 15 = 0

=> 25 - 10 - 15 = 0

=> 15 - 15 = 0

=> 0 = 0

LHS = RHS .

Similarly we can verify by substuting x = - 3 in equation.