What are the solutions to the equation (x^2)/(25)-(x^2)/(144)=1 ?

The solutions to the equation (x^2)/(25)-(x^2)/(144)=1 are x=(60)/(sqrt(119)),x=-(60)/(sqrt(119))

Find the zeros of (x^2)/(25)-(x^2)/(144)=1

The zeros of (x^2)/(25)-(x^2)/(144)=1 are x=(60)/(sqrt(119)),x=-(60)/(sqrt(119))

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\frac{x ^{2}}{25} - \frac{x ^{2}}{144} = 1

x = \frac{60}{119}, x = - \frac{60}{119}

Decimal Notation

x = 5.50019 \dots, x = - 5.50019 \dots

Solution steps

\frac{x ^{2}}{25} - \frac{x ^{2}}{144} = 1

Multiply by LCM

119 x^{2} = 3600

Divide both sides by

119

x^{2} = \frac{3600}{119}

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

x = \frac{3600}{119}, x = - \frac{3600}{119}

\frac{3600}{119} = \frac{60}{119}

- \frac{3600}{119} = - \frac{60}{119}

x = \frac{60}{119}, x = - \frac{60}{119}

- 16 x^{2} + 36 x - 14 = 0

(2 x + 1)^{2} = 4

n^{2} + n = 56

x^{2} - 49 = 2

18 x^{2} - 106 x + 110 = 0

What are the solutions to the equation (x^2)/(25)-(x^2)/(144)=1 ?
The solutions to the equation (x^2)/(25)-(x^2)/(144)=1 are x=(60)/(sqrt(119)),x=-(60)/(sqrt(119))
Find the zeros of (x^2)/(25)-(x^2)/(144)=1
The zeros of (x^2)/(25)-(x^2)/(144)=1 are x=(60)/(sqrt(119)),x=-(60)/(sqrt(119))