Mathematics: What are the solutions of the equation 9x^4 – 2x^2 – 7 = 0? Use u substitution to solve

What are the solutions of the equation 9x^4 –

Ответ:

tishaadams2160

29.01.2022

$x=1\\x=-1$

Step-by-step explanation:

$9x^{4} -2x^{2} -7=0\\y=x^{2} \\9y^{2} -2y-7=0\\y=\frac{2\pm\sqrt{(-2)^{2} -4*9(-7)} }{2*9} =\frac{2\pm\sqrt{4+252} }{18} =\frac{2\pm\sqrt{256} }{18}$

$\sqrt{256} =16$

$y=\frac{2+16}{18} =\frac{18}{18} =1 \\or \\y=\frac{2-16}{18} =-\frac{14}{18} =-\frac{7}{9}$

$x^{2} = 1 \\or \\x^{2} =-\frac{7}{9}$

$x=\pm 1$

$x^{2} =-\frac{7}{9}$ has no solution since fot all on the real line, $x^{2} \geq 0$ and $-\frac{7}{9} < 0.$

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Ответ:

kimberlynassar1962

08.11.2021

Mathematics

x<2

Step-by-step explanation:

2.5 – 1.2x < 6.5 – 3.2x

Sovle the inequality for x

2.5 – 1.2x < 6.5 – 3.2x

Add 3.2x on both sides

2.5 +2x < 6.5 – 3.2x

Subtract 2.5 from both sides

2x< 4

divide by 2 on both siddes

x<2

now make a number line

for < symbol we use open circle and we shaded left

So draw a open circle at 2 and shade to the left of 2

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What are the solutions of the equation 9x^4 – 2x^2 – 7 = 0? Use u substitution to solve

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