Answer:
x = -2, 3.
Step-by-step explanation:
x^2 - x - 6 = 0
(x - 3)(x + 2) = 0
x = -2. 3.
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Well

translates to

so
log5(x/2)=5 means 5^5=x/2, so 3125=x/2, so 6250=x
Answer:
⇒ The given quadratic equation is x2−kx+9=0, comparing it with ax2+bx+c=0
∴ We get, a=1b=−k,c=9
⇒ It is given that roots are real and distinct.
∴ b2−4ac>0
⇒ (−k)2−4(1)(9)>0
⇒ k2−36>0
⇒ k2>36
⇒ k>6 or k<−6
∴ We can see values of k given in question are correct.