What is a solution of x² - 7x = -5?

Solution:

A quadratic equation is an algebraic expression of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a, b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is that the coefficient of x² is a non-zero term(a ≠ 0).

Given equation x² - 7x = -5

It is a quadratic equation x² - 7x + 5 = 0

x = -b ± √(b² - 4ac) / 2a

Here a = 1; b = -7 and c = 5

x = -(-7) ± √((-7)² - 4(1)(5) ) / 2

x = 7 ± √(49 - 20) / 2

x = (7 ± √29) / 2

x = (7 ± 5.38) / 2

x = 12.38 / 2, 1.62 / 2

x = 6.19 , 0.81

Therefore, the solution of x² - 7x = -5 is 6.19 , 0.81.