Question

Find all real values of such that 25|x|=x²+144 a) 4 b) 3 c) 2 d) None​

Answer 1

For x≥0, |x|=x

So, x²-25x+144=0

(x-16)(x-9)=0 ⇔ x=16 or x=9

For x<0, |x|=-x

So, x²+25x+144=0

(x+16)(x+9)=0 ⇔ x=-16 or x=-9

So, there are four zeroes in total.