Answer :
5x = 6x² - 3
5x - 5x = 6x² - 5x - 3
0 = 6x² - 5x - 3
x = -(-5) ± √((-5)² - 4(6)(-3))
2(6)
x = 5 ± √(25 + 72)
12
x = 5 ± √(97)
12
x = 5 + √(97) U x = 5 - √(97)
12 12
[tex]the\ values\ of\ x\ is\ \frac{5 +/- \sqrt{97}}{12}.[/tex]
5x - 5x = 6x² - 5x - 3
0 = 6x² - 5x - 3
x = -(-5) ± √((-5)² - 4(6)(-3))
2(6)
x = 5 ± √(25 + 72)
12
x = 5 ± √(97)
12
x = 5 + √(97) U x = 5 - √(97)
12 12
[tex]the\ values\ of\ x\ is\ \frac{5 +/- \sqrt{97}}{12}.[/tex]
The value of x are; x = 5 + √(97)/12 and x = 5 - √(97)/12.
What is a quadratic equation?
A quadratic equation is the second-order degree algebraic expression in a variable.
The standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Given;
5x = 6x² - 3
Subtract 5x on both sides
5x - 5x = 6x² - 5x - 3
0 = 6x² - 5x - 3
x = -(-5) ± √((-5)² - 4(6)(-3)) / 2(6)
x = 5 ± √(25 + 72)/ 12
x = 5 ± √(97)/ 12
The value of x are;
x = 5 + √(97)/12
x = 5 - √(97)/12
Learn more about quadratic equations;
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