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2 years ago

I also need help with this one, simplifying this radical expression. This ones weird.

Mathematics

2 answers:

Darya [45]2 years ago

7 0

Answer:

Step-by-step explanation:

Factorise numerators/ denominators where possible

3x² - 4x + 1 = (x - 1)(3x - 1)

x² - 1 ← is a difference of squares and factors as

x² - 1 = (x - 1)(x + 1)

Expressing the product in factored form

$\frac{(x-1)(3x-1)}{(x-1)(x+1)}$ × $\frac{x+1}{3x-1}$

Cancel common factors on numerator/denominator, that is

Cancel (x - 1) , (x + 1) and (3x - 1), leaving the simplified form 1

Free_Kalibri [48]2 years ago

3 0

Answer: 1

Step-by-step explanation:

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Select the two values of x that are roots of this equation 3x^2 + 1 =5x

Zina [86]

Answer:

x = 1.434 and x=0.232

Step-by-step explanation:

To find the root of the equation stated above we need to:

(1) Write the polynomial equation with zero on the right hand side:

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(2) Divide the whole equation by 3

$3x^{2} -5x + 1 = 0$ ⇒ $x^{2} -\frac{5}{3}x + \frac{1}{3}= 0$

(3) Use the quadratic formula to solve the quadratic equation:

The quadratic formula states that the two solutions for a quadratic equation is given by:

$\frac{-b±\sqrt{b^{2} - 4ac}}{2a}$ (1)

In this case, a = 1, b = $-\frac{5}{3}, c= \frac{1}{3}$

Substituiting a, b and c in equation (1) We get:

$\frac{-\frac{5}{3}±\sqrt{(-\frac{5}{3})^{2} - 4(1)(\frac{1}{3})}}{2(1)}$ (1)

The two solutions are:

x = 1.434 and x=0.232

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