What are the solutions to the equation 14+3h=5hh ?

The solutions to the equation 14+3h=5hh are h=2,h=-7/5

Find the zeros of 14+3h=5hh

The zeros of 14+3h=5hh are h=2,h=-7/5

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14 + 3 h = 5 hh

h = 2, h = - \frac{7}{5}

Decimal Notation

h = 2, h = - 1.4

Solution steps

14 + 3 h = 5 hh

Expand

5 hh : 5 h^{2}

14 + 3 h = 5 h^{2}

Switch sides

5 h^{2} = 14 + 3 h

Move

3 h

to the left side

5 h^{2} - 3 h = 14

Move

14

to the left side

5 h^{2} - 3 h - 14 = 0

Solve with the quadratic formula

h_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 5 ( - 14 )}{2 \cdot 5}

(- 3)^{2} - 4 \cdot 5 (- 14) = 17

h_{1, 2} = \frac{- ( - 3 ) \pm 17}{2 \cdot 5}

Separate the solutions

h_{1} = \frac{- ( - 3 ) + 17}{2 \cdot 5}, h_{2} = \frac{- ( - 3 ) - 17}{2 \cdot 5}

h = \frac{- ( - 3 ) + 17}{2 \cdot 5} : 2

h = \frac{- ( - 3 ) - 17}{2 \cdot 5} : - \frac{7}{5}

The solutions to the quadratic equation are:

h = 2, h = - \frac{7}{5}

y, x^{2} + x y + y^{2} = 3

x, x^{2} + y^{2} = a^{2}

y, x^{2} + 5 x y - 4 y^{2} = 10

x^{2} - x - 1

x (x - 3) = - 6 + 3 (x - 1)

What are the solutions to the equation 14+3h=5hh ?
The solutions to the equation 14+3h=5hh are h=2,h=-7/5
Find the zeros of 14+3h=5hh
The zeros of 14+3h=5hh are h=2,h=-7/5