The value of x equals quantity of (3 ± √23)/2.
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Here, given equation;
x² - 3x = -8
x² - 3x + 8 = 0
x² - 2 X 3/2 x + 8 = 0
x² - 2.3/2 x + (3/2)² - (3/2)² + 8 = 0
(x - 3/2)² - 9/4 + 8 = 0
(x - 3/2)² + 23/4 = 0
(x - 1.5)² = -5.75
x - 1.5 = ±√(-5.75)
x = 1.5 ± i√(5.75)
x = (3 ± i√21)/2
Thus, x equals quantity of 3 plus or minus I square root of 23 all over 2.
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