Question

14. What is the nature of the roots of the quadratic equation 9x2 + 25 = 30x?​

Answer 1

Step-by-step explanation:

$9x {}^{2} - 30x + 25 \\ 9x {?}^{2} - 15x - 15x + 25 \\ 3x(3x - 5) - 5(3x - 5) \\ (3x - 5)(3x - 5) \\ (3x - 5) {?}^{2}$

Answer 2

Answer:

Step-by-step explanation

⇒ $9x^{2} + 25 = 30x$

$Quadratic Equation: 9x^{2} - 30x + 25 = 0$

⇒ a = 9    b = - 30   c = 25

⇒ D = $\sqrt{b^{2} - 4ac } = 0$

⇒ $\sqrt{(- 30)^{2} - 4(9)(25) } = 0$

⇒ $\sqrt{900 - 900}$

⇒ $\sqrt{0}$

⇒ D = 0

∴ The nature of the roots are real and equal