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Answered

Solve the equation by factorin
x2 – 3x - 10 = 0​

Sagot :

Jahcxxchango

Solve by Factoring

  • To solve the given, we must factor the left side of the equation. Then set factors equal to 0 in order to determine the final answer.

[tex] \\ \tt = {x}^{2} – 3x - 10 = 0 \\ = \tt(x+2)(x−5)=0 \\ = \tt \: x+2=0 \:  or  \: x−5=0 \\ = \tt\begin{gathered} \boxed{ \large \boxed{\tt{x=−2  \: , \: x=5}}} \end{gathered} \\ \\ [/tex]

Hope this helps! ❤

TheBlueStargo

Equation Given:-

[tex] \red{ \boxed{ \sf{x}^{2} - 3x - 10 = 0}}[/tex]

[tex] \\ [/tex]

Step-by-step explanation:-

[tex] \\ [/tex]

[tex] \dashrightarrow \sf{x}^{2} - 3x - 10 = 0[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf{x}^{2} - 5x + 2x - 10 = 0[/tex]

[tex] \\ [/tex]

(Splitting the middle term)

[tex] \\ [/tex]

[tex] \dashrightarrow \sf \{{x}^{2} - 5x \} + \{2x - 10 \} = 0[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf x\{{x} - 5 \} + 2\{x - 5\} = 0[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf \{x + 2 \} \{x - 5 \} = 0[/tex]

[tex] \\ [/tex]

Comparing:

[tex] \\ [/tex]

Value of x :-

x + 2 = 0

x = -2

Or

x - 5 = 0

x = 5

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