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u-4=sqrt(-u+34)

u−4=−u+34 u-4=\sqrt{-u+34}

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Csc, sec, and cot of special anglesright chevron icon

Full solution

Q. u−4=−u+34 u-4=\sqrt{-u+34}
  1. Square Both Sides: First, let's square both sides to get rid of the square root.\newline(u - \(4)^22 = (\sqrt{-u + 3434})^22
  2. Simplify Equation: Now, simplify both sides of the equation. u2−8u+16=−u+34u^2 - 8u + 16 = -u + 34
  3. Move Terms and Set to Zero: Next, let's move all terms to one side to set the equation to zero. u2−8u+u+16−34=0u^2 - 8u + u + 16 - 34 = 0
  4. Combine Like Terms: Combine like terms. u2−7u−18=0u^2 - 7u - 18 = 0
  5. Factor Quadratic Equation: Now, we need to factor the quadratic equation. \newline(u−9)(u+2)=0(u - 9)(u + 2) = 0
  6. Set Factors Equal to Zero: Set each factor equal to zero and solve for uu.u−9=0u - 9 = 0 or u+2=0u + 2 = 0
  7. Solve for uu: Solving each equation gives us the possible values for uu.u=9u = 9 or u=−2u = -2

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