What are the solutions to the equation (16x)^2+(9x)^2=43^2 ?

The solutions to the equation (16x)^2+(9x)^2=43^2 are x=(43)/(sqrt(337)),x=-(43)/(sqrt(337))

Find the zeros of (16x)^2+(9x)^2=43^2

The zeros of (16x)^2+(9x)^2=43^2 are x=(43)/(sqrt(337)),x=-(43)/(sqrt(337))

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(16 x)^{2} + (9 x)^{2} = 4 3^{2}

x = \frac{43}{337}, x = - \frac{43}{337}

Decimal Notation

x = 2.34235 \dots, x = - 2.34235 \dots

Solution steps

(16 x)^{2} + (9 x)^{2} = 4 3^{2}

Expand

(16 x)^{2} + (9 x)^{2} : 337 x^{2}

Expand

4 3^{2} : 1849

337 x^{2} = 1849

Move

1849

to the left side

337 x^{2} - 1849 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 0 \pm 0 ^{2} - 4 \cdot 337 ( - 1849 )}{2 \cdot 337}

0^{2} - 4 \cdot 337 (- 1849) = 86337

x_{1, 2} = \frac{- 0 \pm 86 337}{2 \cdot 337}

Separate the solutions

x_{1} = \frac{- 0 + 86 337}{2 \cdot 337}, x_{2} = \frac{- 0 - 86 337}{2 \cdot 337}

x = \frac{- 0 + 86 337}{2 \cdot 337} : \frac{43}{337}

x = \frac{- 0 - 86 337}{2 \cdot 337} : - \frac{43}{337}

The solutions to the quadratic equation are:

x = \frac{43}{337}, x = - \frac{43}{337}

x, ln (y) - \frac{1}{y ^{2}} = \frac{x ^{2}}{2} + c

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

308 = (x^{2} - 154) 0.77

x, p^{3} - p (x^{2} + x y + y^{2}) + x^{2} y + x y^{2} = 0

6 k = k^{2}

What are the solutions to the equation (16x)^2+(9x)^2=43^2 ?
The solutions to the equation (16x)^2+(9x)^2=43^2 are x=(43)/(sqrt(337)),x=-(43)/(sqrt(337))
Find the zeros of (16x)^2+(9x)^2=43^2
The zeros of (16x)^2+(9x)^2=43^2 are x=(43)/(sqrt(337)),x=-(43)/(sqrt(337))