Question

root of equation 2 X + 7 is = 29​

Answer 1

Please check the answers and like it

Answer 2

Step-by-step explanation:

STEP

1

:

Isolate the square root on the left hand side

Original equation

x-7 = √29-2x

Isolate

-√29-2x = -x+7

Tidy up

√29-2x = x-7

STEP

2

:

Eliminate the radical on the left hand side

Raise both sides to the second power

(√29-2x)2 = (x-7)2

After squaring

29-2x = x2-14x+49

STEP

3

:

Solve the quadratic equation

Rearranged equation

x2 - 12x + 20 = 0

This equation has two rational roots:

{x1, x2}={10, 2}

STEP

4

:

Check that the first solution is correct

Original equation, root isolated, after tidy up

√29-2x = x-7

Plug in 10 for x

√29-2•(10) = (10)-7

Simplify

√9 = 3

Solution checks !!

Solution is:

x = 10

STEP

5

:

Check that the second solution is correct

Original equation, root isolated, after tidy up

√29-2x = x-7

Plug in 2 for x

√29-2•(2) = (2)-7

Simplify

√25 = -5

Solution does not check

5 ≠ -5

I hope it's helped you.

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