AT is a tangent at T to a circle, centre O.
OT = x cm AT = (x+5) cm OA = (x+8) cm
a) Show that x^2-6x-39=0
b) Solve the equation x^2-6x-39=0 to find the radius of the circle
Give your answer correct to 3 significant figures.
Someone please help.
AT is a tangent at T to a circle, centre O.
OT = x cm AT = (x+5) cm OA = (x+8) cm
a) Show that x^2-6x-39=0
b) Solve the equation x^2-6x-39=0 to find the radius of the circle
Give your answer correct to 3 significant figures.
Someone please help.
I think you probably meant to say: Show that $\displaystyle (x+8)^2=x^2+(x+5)^2$
$\displaystyle x^2+16x+64=x^2+x^2+10x-25$
$\displaystyle x^2-6x-39=0$
The quadratic will not factor, so use the quadratic formula to solve. Use only the positive root and round to 3 sig digits.
I got $\displaystyle x=\frac{6+\sqrt{192}}{2}\approx 9.93$