Question

x^2/15-x/3-10=0 solve the following equation by factorisation
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Answer 1

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.

Answer 2

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