Answer:
![\large\boxed{x=\dfrac{1}{2}-\sqrt2\ or\ x=\dfrac{1}{2}+\sqrt2}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%3D%5Cdfrac%7B1%7D%7B2%7D-%5Csqrt2%5C%20or%5C%20x%3D%5Cdfrac%7B1%7D%7B2%7D%2B%5Csqrt2%7D)
Step-by-step explanation:
![\text{The quadratic formula of}\ ax^2+bx+c=0:\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20quadratic%20formula%20of%7D%5C%20ax%5E2%2Bbx%2Bc%3D0%3A%5C%5C%5C%5Cx%3D%5Cdfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
![\text{We have:}\\\\4x^2-7=4x\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\4x^2-4x-7=0\\\\a=4,\ b=-4,\ c=-7\\\\b^2-4ac=(-4)^2-4(4)(-7)=16+112=128\\\\\sqrt{b^2-4ac}=\sqrt{128}=\sqrt{64\cdot2}=\sqrt{64}\cdot\sqrt2=8\sqrt2\\\\x=\dfrac{-(-4)\pm8\sqrt2}{(2)(4)}=\dfrac{4\pm8\sqrt2}{8}\qquad\text{simplify by 4}\\\\x=\dfrac{1\pm2\sqrt2}{2}\to x=\dfrac{1}{2}\pm\sqrt2](https://tex.z-dn.net/?f=%5Ctext%7BWe%20have%3A%7D%5C%5C%5C%5C4x%5E2-7%3D4x%5Cqquad%5Ctext%7Bsubtract%7D%5C%204x%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5C%5C%5C4x%5E2-4x-7%3D0%5C%5C%5C%5Ca%3D4%2C%5C%20b%3D-4%2C%5C%20c%3D-7%5C%5C%5C%5Cb%5E2-4ac%3D%28-4%29%5E2-4%284%29%28-7%29%3D16%2B112%3D128%5C%5C%5C%5C%5Csqrt%7Bb%5E2-4ac%7D%3D%5Csqrt%7B128%7D%3D%5Csqrt%7B64%5Ccdot2%7D%3D%5Csqrt%7B64%7D%5Ccdot%5Csqrt2%3D8%5Csqrt2%5C%5C%5C%5Cx%3D%5Cdfrac%7B-%28-4%29%5Cpm8%5Csqrt2%7D%7B%282%29%284%29%7D%3D%5Cdfrac%7B4%5Cpm8%5Csqrt2%7D%7B8%7D%5Cqquad%5Ctext%7Bsimplify%20by%204%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B1%5Cpm2%5Csqrt2%7D%7B2%7D%5Cto%20x%3D%5Cdfrac%7B1%7D%7B2%7D%5Cpm%5Csqrt2)
Answer:
when we add two negative numbers the result will always be a negative number, on adding negative numbers the direction of the move will always be to the left side
hope this helps!
Answer:
$72
Step-by-step explanation:
36/3=12
1 tanktop=$12
12*3=36
1 shirt equals=$36
36*2=72
2 shirts=$72
Answer:
Center: (-13,-2) Radius: 9
Step-by-step explanation:
because i know