Question

The graph of the quadratic equation $x^2-29x+204$ will cut the coordinate axis at which of the following points?

• A. x-axis at point $x=204$ and y-axis at points $y=12,\text{and}y=17$
• B. x-axis at points $x=12,\text{and}x=15$ and y-axis at point $y=204$
• C. x-axis at points $x=12,\text{and}x=17$ and y-axis at point $y=204$
• D. x-axis at points $x=-12,\text{and}x=-17$ and y-axis at point $y=204$

Answer 1

The correct option is C x-axis at points $x=12,\text{and}x=17$ and y-axis at point $y=204$

$y=x^2-29x+204$

Putting $x=0$ we get the $y-$ intercept.

$\therefore y=0-0+204$

$y=204$

Putting $y=0$ we get the $x-$ intercept

$x^2-29x+204=0$

$x^2-17x-12x+204=0$

$(x-17)(x-12)=0$

$\therefore x=12$ and $17$