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.
Answer:
Option D, (x + 2)(x - 6)
Step-by-step explanation:
<u>Step 1: Factor
</u>
x^2 - 4x - 12
x^2 - 6x + 2x - 12
(x - 6)(x + 2)
(x + 2)(x - 6)
Answer: Option D, (x + 2)(x - 6)
Answer:
x=1/2
Step-by-step explanation:
First you distribute the 8 over the (x-3) giving you 8x-24. Do the same for 2x and (4-17). That should give you 8x-34x.
Your equation should look like : 8x-24+7=8x-34x
Next try to balance out your equation. You want your x's all by themselves in order to solve.
The 8x's cancel eachother out so you have -24+7= -34x.
Add the like terms of -24 and 7 to get -17.
Equation: -17= -34x
Divide both sides by -34 to get x by itself.
-17/-34 = x
Reduce by dividing the numerator and denominator by 17 to get -1/-2
Since they are both negative the fraction turns positive.
So the answer should be x=1/2
Answer:
There are two ways you can write it. You can write it how you would casually say it:
Fifty and two (or Fifty point Two)
But mathematically, you would say it as:
Fifty and Two-tenths.
~
<h2>
Answer:</h2>
The equation that is used to model the length of ladder in terms of x is:
<h2>
Step-by-step explanation:</h2>
We can model this problem with the help of a right angled triangle whose hypotenuse is 13 meters and the other two legs are x meters and (x-7) meters.
where x is the distance between the top of the ladder and the ground.
and (x-7) is the distance between the foot of the ladder and the wall.
Hence, using Pythagorean Theorem we have:
Hence, the answer is:
