Explicación paso a paso:
[tex] \sqrt{4x - 11} = 7 \sqrt{2x - 29} \\ {( \sqrt{4x - 11} = 7 \sqrt{2x - 29})}^{2} \\ 4x - 11 = 49(2x - 29) \\ 4x - 11 = 98x - 1421 \\ - 98x + 4x = - 1421 + 11 \\ - 94x = - 1410 \\ x = \frac{ - 1410}{ - 94} \\ x = 15[/tex]
COMPROBACIÓN
[tex] \sqrt{4x - 11} = 7 \sqrt{2x - 29} \\ \sqrt{4(15) - 11} = 7 \sqrt{2(15) - 29} \\ \sqrt{60 - 11} = 7 \sqrt{30 - 29} \\ \sqrt{49} = 7 \sqrt{1} \\ 7 = 7(1) \\ 7 = 7[/tex]
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Explicación paso a paso:
[tex] \sqrt{4x - 11} = 7 \sqrt{2x - 29} \\ {( \sqrt{4x - 11} = 7 \sqrt{2x - 29})}^{2} \\ 4x - 11 = 49(2x - 29) \\ 4x - 11 = 98x - 1421 \\ - 98x + 4x = - 1421 + 11 \\ - 94x = - 1410 \\ x = \frac{ - 1410}{ - 94} \\ x = 15[/tex]
COMPROBACIÓN
[tex] \sqrt{4x - 11} = 7 \sqrt{2x - 29} \\ \sqrt{4(15) - 11} = 7 \sqrt{2(15) - 29} \\ \sqrt{60 - 11} = 7 \sqrt{30 - 29} \\ \sqrt{49} = 7 \sqrt{1} \\ 7 = 7(1) \\ 7 = 7[/tex]