Question

2x² +5x+3-k=0 what is the value of k​

Answer 1

Answer:

${2x}^{2} + 5x + 3 - k = 0$

Step-by-step explanation:

is 15k

Answer 2

EXPLANATION.

Quadratic equation.

⇒ 2x² + 5x + 3 - k = 0.

As we know that,

D = Discriminant  Or  b² - 4ac.

⇒ (5)² - 4(2)(3 - k) = 0.

⇒ 25 - 8(3 - k) = 0.

⇒ 25 - 24 + 8k = 0.

⇒ 1 + 8k = 0.

⇒ 8k = -1.

⇒ k = -1/8.

                                                                                                                         

MORE INFORMATION.

Nature of the factors of the quadratic expression.

(1) = Real and different, if b² - 4ac > 0.

(2) = Rational and different, if b² - 4ac is a perfect square.

(3) = Real and equal, if b² - 4ac = 0.

(4) = If D < 0 Roots are imaginary and unequal or complex conjugate.