What is the answer to h/4 =sqrt(14.7h)+4.9 ?

The answer to h/4 =sqrt(14.7h)+4.9 is h=(27440+sqrt(737587200))/(200)

Solve for h: h/4 =sqrt(14.7h)+4.9

The solution is h=(27440+sqrt(737587200))/(200)

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\frac{h}{4} = 14.7 h + 4.9

h = \frac{27440 + 737587200}{200}

Decimal Notation

h = 272.99278 \dots

Solution steps

\frac{h}{4} = 14.7 h + 4.9

Multiply both sides by

4

\frac{h}{4} \cdot 4 = 14.7 h \cdot 4 + 4.9 \cdot 4

Simplify

h = 4 14.7 h + 19.6

Remove square roots

h^{2} - 39.2 h + 384.16 = 235.2 h

Solve

h^{2} - 39.2 h + 384.16 = 235.2 h : h = \frac{27440 + 737587200}{200}, h = \frac{27440 - 737587200}{200}

h = \frac{27440 + 737587200}{200}, h = \frac{27440 - 737587200}{200}

Verify Solutions:

h = \frac{27440 + 737587200}{200}

True

, h = \frac{27440 - 737587200}{200}

False

The solution is

h = \frac{27440 + 737587200}{200}

x - 2 = 2 x - 4

(7 x + 1)^{\frac{3}{2}} + 6 = 222

3 x + 36 + 6 = x

(x - 2)^{\frac{2}{3}} = 81

x^{2} - 2 x + x = 0

What is the answer to h/4 =sqrt(14.7h)+4.9 ?
The answer to h/4 =sqrt(14.7h)+4.9 is h=(27440+sqrt(737587200))/(200)
Solve for h: h/4 =sqrt(14.7h)+4.9
The solution is h=(27440+sqrt(737587200))/(200)