Помогите решить! Помогите решить уравнение! Я знаю что оно легкое, но ответ не получается! _____ / 7x+23 = — x-5

Помогите решить! Помогите решить уравнение! Я знаю что оно легкое, но ответ не получается! _____ / 7x+23 = -x-5

  • Solve for x:
    sqrt(7 x+23) = -5-x
    Eliminate the square root on the left hand side.
    Raise both sides to the power of two:
    7 x+23 = (-5-x)^2
    Write the quadratic polynomial on the right hand side in standard form.
    Expand out terms of the right hand side:
    7 x+23 = x^2+10 x+25
    Move everything to the left hand side.
    Subtract x^2+10 x+25 from both sides:
    -x^2-3 x-2 = 0
    Factor the left hand side.
    The left hand side factors into a product with three terms:
    -((x+1) (x+2)) = 0
    Multiply both sides by a constant to simplify the equation.
    Multiply both sides by -1:
    (x+1) (x+2) = 0
    Solve each term in the product separately.
    Split into two equations:
    x+1 = 0 or x+2 = 0
    Look at the first equation: Solve for x.
    Subtract 1 from both sides:
    x = -1 or x+2 = 0
    Look at the second equation: Solve for x.
    Subtract 2 from both sides:
    x = -1 or x = -2
    Now test that these solutions are correct by substituting into the original equation.
    Check the solution x = -2.
    sqrt(7 x+23) => sqrt(23+7 (-2)) = 3
    -5-x => -(-2)-5 = -3:
    So this solution is incorrect
    Check the solution x = -1.
    sqrt(7 x+23) => sqrt(23+7 (-1)) = 4
    -5-x => -(-1)-5 = -4:
    So this solution is incorrect
    Gather any correct solutions.
    All the solutions are incorrect:
    Answer: |
    | (no solutions)



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