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3 years ago

Solve 4x^2 - 3 = 3x^2 + 13 by using square roots

Mathematics

2 answers:

Andreyy893 years ago

7 0

X=4, -4 I think! Hope that helps

mina [271]3 years ago

7 0

Answer:

x = - 4, x = 4

Step-by-step explanation:

$4x^2 - 3 = 3x^2 + 13 \\ \\ 4x^2 - 3 - 3x^2 - 13 = 0 \\ \\ 4 {x}^{2} - 3 {x}^{2} - 16 = 0 \\ \\ {x}^{2} - 16 = 0 \\ \\ {x}^{2} - {(4)}^{2} = 0 \\ \\ (x + 4)(x - 4) = 0 \\ \\ x + 4 = 0 \: \: or \: \: x - 4 = 0 \\ \\ x = - 4 \: \: or \: \: x = 4 \\ \\ x = - 4, \: \: 4$

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Simplify the rational expression. State any restrictions on the variable.

ExtremeBDS [4]

we are given

$\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}$

Firstly, we will factor numerators and denominators

$\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}=\frac{(n^2-6)(n^2-4)}{(n^2-3)(n^2-6)}$

we can see that

n^2 -6 is factor on both numerator and denominator

so, it will get cancelled

and n^2 -6 can not be equal to 0

so, one of restriction is

$n^2-6\neq 0$

$n\neq -+ \sqrt{6}$

we can simplify it

$\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}=\frac{(n^2-4)}{(n^2-3)}$

we know that denominator can not be zero

$n^2-3\neq 0$

$n\neq -+ \sqrt{3}$

so, option-B.......Answer

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3 years ago

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noname [10]

Answer:

Step-by-step explanation:

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2 years ago

X+3y=3 2x-4y=6 solve the equations

Gelneren [198K]

Subtract the second equation from double the first equation:

2x+6y-2x-(-4y)=0

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Therefore, y=0. Substituting this into the first equation, we see that:

x+3(0)=3

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2 years ago

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Rudik [331]

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Step-by-step explanation:

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2 years ago