Since we want it in the form: (x - a)², let's first expand (x - a)² and then equate for the coefficients.
(x - a)² = x² - 2ax + a²
x² + 4x - 15 = x² - 2ax + a²
Now, let's focus on the middle term.
4x = -2ax
4 = -2a
a = -2
Thus, we know that a = -2
Then, we can say (x + 2)² = x² + 4x - 15
x² + 4x + 4 = x² + 4x - 15
Thus, 19 units are needed in order to complete the square to produce:
(x + 2)²
Can you see it ?
I hope the picture help !
The square root of 45 is simplified to 3 root 5. Rounded in decimal form, 6.708
Solving for "K" , got it! :)
I'll make it easier to solve
(k)4+3-14=?
? = 0
4(k)-11 = 0
Take off the '0' and the addition symbol so we can add from 11 on your sides
4(k) - 11
+11 +11
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15k. 22
⬆ This would be your answer for k
4(k) = 11
÷4 ÷4
--- ----
1K ?
K = 11/4 (for fraction)
K = 2.75 (as a decimal)
