Someone please solve this problem.
Answers
GIVEN :
The equation is \frac{x^2}{15}-\frac{x}{3}-10=0
15
x
2
−
3
x
−10=0
TO SOLVE :
The given equation \frac{x^2}{15}-\frac{x}{3}-10=0
15
x
2
−
3
x
−10=0 by factorisation.
SOLUTION :
Given equation is \frac{x^2}{15}-\frac{x}{3}-10=0
15
x
2
−
3
x
−10=0
By solving the given equation \frac{x^2}{15}-\frac{x}{3}-10=0
15
x
2
−
3
x
−10=0 by factorisation.
\frac{x^2}{15}-\frac{x}{3}-10=0
15
x
2
−
3
x
−10=0
Multiply by 15 on both sides of the given equation we get,
x^2-5x-150=0x
2
−5x−150=0
The above equation x^2-5x-150=0x
2
−5x−150=0 can be written as below :
x^2-15x+10x-150=0x
2
−15x+10x−150=0
x(x-15)+10(x-15)=0x(x−15)+10(x−15)=0
By taking the common factors outside we get,
(x+10)(x-15)=0(x+10)(x−15)=0
∴ \frac{x^2}{15}-\frac{x}{3}-10=(x+10)(x-15)=0
15
x
2
−
3
x
−10=(x+10)(x−15)=0 .
∴ the given equation \frac{x^2}{15}-\frac{x}{3}-10==0
15
x
2
−
3
x
−10==0 is solved by factorisation is (x+10)(x-15)=0.