Question

(x-4)(4x + 6) = (x-5)

Answer 1

4x^2 + 6x -16x -24 = x-5

4x^2-11x-19=0

D = 11^2-4×4×(-24) = 153 = (5√(17)) ^2

x = (11+-5√(17))/8

Answer 2

4x² + 6x - 16x - 24 = x - 5

4x² - 10x - 24 = x - 5

4x² - 11x - 19 = 0

D = 121 + 4*4*19 = 121 + 304 = 425 > 0

√D = √425 = 5√17

x1, x2 = (11±5√17)/8

Ответ: x1, x2 = (11±5√17)/8

Answer 3

To solve the equation, let's expand the left side and simplify the equation:

(x - 4)(4x + 6) = (x - 5)

Expanding the left side: 4x^2 + 6x - 16x - 24 = x - 5

Combining like terms: 4x^2 - 10x - 24 = x - 5

Rearranging the equation: 4x^2 - 10x - x + 24 - 5 = 0

Simplifying: 4x^2 - 11x + 19 = 0

Unfortunately, this equation cannot be factored easily using integers. You can solve it by using the quadratic formula or by factoring using the quadratic formula as well.