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Solve x2 – StartFraction 16 Over 25 EndFraction = 0.

1. Isolate x2 : x2 = StartFraction 16 Over 25 EndFraction

2. Apply the square root property of equality:

StartRoot x squared EndRoot = StartRoot StartFraction 16 Over 25 EndFraction EndRoot
What are the solutions of the equation?

x = StartFraction 4 Over 25 EndFraction and x = StartFraction negative 4 Over 25 EndFraction
x = StartFraction 8 Over 25 EndFraction and x = StartFraction negative 8 Over 25 EndFraction
x = StartFraction 16 Over 25 EndFraction and x = Start Fraction negative 16 Over 25 EndFraction
x = StartFraction 4 Over 5 EndFraction and x = StartFraction negative 4 Over 5 EndFraction

Respuesta :

Hrishii

Answer:

x = StartFraction 4 Over 5 EndFraction and x = StartFraction negative 4 Over 5 EndFraction

Step-by-step explanation:

[tex] {x }^{2} - \frac{16}{25} = 0 \\ \\ \therefore \: {x}^{2} = \frac{16}{25} \\ \\ \therefore \:x = \pm \sqrt{ \frac{16}{25} } \\ \\ \therefore \:x = \pm \frac{4}{5} \\ \\ \therefore \:x = \frac{4}{5} \: \: \: and \: \: \: x = - \frac{4}{5} [/tex]

The solutions of the equation are 4÷5 and -4÷5

What is sqaure root?

Square root is the number,which when multiplied by itself,gives the original number.

Example : [tex]\sqrt{25}[/tex] = [tex]5[/tex] and when 5 is multiplied by itself we get 25.

[tex]x^{2}[/tex]-16÷25=0

⇒[tex]x^{2}[/tex]=16÷25

Now taking square root on both sides we get

[tex]\sqrt{x^{2} }[/tex] = [tex]\sqrt{16/25}[/tex]

x=±4÷5

so x = 4÷5   and  x = -4÷5

Learn more about square root here,

https://brainly.com/question/11388449,#SPJ2

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