Mathematics: 6x^2-7x+2=0 slove the following quadratic equation using the quadratic formula

6x^2-7x+2=0 slove the following quadratic equation

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roadrnr8970

14.03.2022

The first step to solving this question is to write -7x as a sum
6x² - 3x - 4x + 2 = 0
Factor out 3x from the expression
3x × (2x - 1) - 4x + 2 = 0
Factor out -2 from the expression
3x × (2x - 1) - 2(2x - 1) = 0
Factor out 2x - 1 from the expression
(2x - 1) × (3x - 2) = 0
When the product of factors equals 0,, at least one factor is 0. This will make the expression look like the following:
2x - 1 = 0
3x - 2 = 0
Solve the top equation for x
x = $\frac{1}{2}$
3x - 2 = 0
Solve the bottom equation for x
x = $\frac{1}{2}$
$\frac{2}{3}$
This tells us that the final solutions to your expression are $x_{1}$ = x = $\frac{1}{2}$ , $x_{2}$ = $\frac{2}{3}$
Let me know if you have any further questions
:)

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6x^2-7x+2=0 slove the following quadratic equation using the quadratic formula

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