An X-ray photon is scattered at an angle of = 180.0° from an electron that is...

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An X-ray photon is scattered at an angle of = 180.0° from an electron that is...

An X-ray photon is scattered at an angle of = 180.0° from an electron that is initially at rest. After scattering, the electron has a speed of 3.91 × 106 m/s. Find the wavelength of the incident X-ray photon.

Please help, especially with all the math steps to the end. I'm struggling to solve for lamda in the equation KE=hc/lamda - hc/lamda' since there are 2 fractions with lamda in.

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