Answer:10,800
Step-by-step explanation:
im not sure but what i did was 90x120=10800
The solutions for ‘x’ are 2 and -5
<u>Step-by-step explanation:</u>
Given equation:
![12^{x^{2}+5 x-4}=12^{2 x+6}](https://tex.z-dn.net/?f=12%5E%7Bx%5E%7B2%7D%2B5%20x-4%7D%3D12%5E%7B2%20x%2B6%7D)
Since the base on both sides as ‘12’ are the same, we can write it as
![x^{2}+5 x-4=2 x+6](https://tex.z-dn.net/?f=x%5E%7B2%7D%2B5%20x-4%3D2%20x%2B6)
![x^{2}+5 x-2 x-4-6=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%2B5%20x-2%20x-4-6%3D0)
![x^{2}+3 x-10=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%2B3%20x-10%3D0)
Often, the value of x is easiest to solve by
by factoring a square factor, setting each factor to zero, and then isolating each factor. Whereas sometimes the equation is too awkward or doesn't matter at all, or you just don't feel like factoring.
<u>The Quadratic Formula:</u> For
, the values of x which are the solutions of the equation are given by:
![x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E%7B2%7D-4%20a%20c%7D%7D%7B2%20a%7D)
Where, a = 1, b = 3 and c = -10
![x=\frac{-3 \pm \sqrt{(-3)^{2}-4(1)(-10)}}{2(1)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-3%20%5Cpm%20%5Csqrt%7B%28-3%29%5E%7B2%7D-4%281%29%28-10%29%7D%7D%7B2%281%29%7D)
![x=\frac{-3 \pm \sqrt{9+40}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-3%20%5Cpm%20%5Csqrt%7B9%2B40%7D%7D%7B2%7D)
![x=\frac{-3 \pm \sqrt{49}}{2}=\frac{-3 \pm 7}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-3%20%5Cpm%20%5Csqrt%7B49%7D%7D%7B2%7D%3D%5Cfrac%7B-3%20%5Cpm%207%7D%7B2%7D)
So, the solutions for ‘x’ are
![x=\frac{-3+7}{2}=\frac{4}{2}=2](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-3%2B7%7D%7B2%7D%3D%5Cfrac%7B4%7D%7B2%7D%3D2)
![x=\frac{-3-7}{2}=\frac{-10}{2}=-5](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-3-7%7D%7B2%7D%3D%5Cfrac%7B-10%7D%7B2%7D%3D-5)
The solutions for ‘x’ are 2 and -5
Answer:
I hated doing this in middle school
10 inches would make him taller than 70, 9 inches would make him exactly 70