Math, asked by khwaishg189, 9 months ago

x^2/15-x/3-10=0 solve the following equation by factorisation

Answers

Answered by ashishks1912
31

GIVEN :

The equation is \frac{x^2}{15}-\frac{x}{3}-10=0

TO SOLVE :

The given equation \frac{x^2}{15}-\frac{x}{3}-10=0 by factorisation.

SOLUTION :

Given equation is \frac{x^2}{15}-\frac{x}{3}-10=0

By solving the given equation \frac{x^2}{15}-\frac{x}{3}-10=0 by factorisation.

\frac{x^2}{15}-\frac{x}{3}-10=0

Multiply by 15 on both sides of the given equation we get,

x^2-5x-150=0

The above equation x^2-5x-150=0 can be written as below :

x^2-15x+10x-150=0

x(x-15)+10(x-15)=0

By taking the common factors outside we get,

(x+10)(x-15)=0

\frac{x^2}{15}-\frac{x}{3}-10=(x+10)(x-15)=0.

∴ the given equation \frac{x^2}{15}-\frac{x}{3}-10==0 is solved by factorisation is (x+10)(x-15)=0.

Answered by indiradevisubramania
4

Answer:

-10,15

Step-by-step explanation:

X2/15-x/3-10=0

15(X2/15-x/3-10)=0

15x2/15-15x/3-150=0

x2-15x+10x-150=0

x+10=0. x-15=0

x=-10. x=15

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