What is the answer to 4=7-2sqrt(25+18x) ?

The answer to 4=7-2sqrt(25+18x) is x=-91/72

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4=7-2sqrt(25+18x)

4 = 7 - 2 25 + 18 x

x = - \frac{91}{72}

Decimal Notation

x = - 1.26388 \dots

Solution steps

4 = 7 - 2 25 + 18 x

Switch sides

7 - 2 25 + 18 x = 4

Move

7

to the right side

- 2 25 + 18 x = - 3

Divide both sides by

- 2

25 + 18 x = \frac{3}{2}

Square both sides:

25 + 18 x = \frac{9}{4}

25 + 18 x = \frac{9}{4}

Solve

25 + 18 x = \frac{9}{4} : x = - \frac{91}{72}

x = - \frac{91}{72}

Verify Solutions:

x = - \frac{91}{72}

True

The solution is

x = - \frac{91}{72}

k^{\frac{- 1}{2}} = 0.04

a = x^{2} - 4

4 x - 7 - 5 = 0

3 + x = - 1

What is the answer to 4=7-2sqrt(25+18x) ?
The answer to 4=7-2sqrt(25+18x) is x=-91/72
Solve for x: 4=7-2sqrt(25+18x)
The solution is x=-91/72