Mathematics
If p - 15 = 0 and 2x2 + px + 25 = 0; find the values of x.
Quadratic Equations
20 Likes
Answer
Given,
⇒ p - 15 = 0
⇒ p = 15.
Substituting value of p in 2x2 + px + 25 = 0 we get,
⇒ 2x2 + 15x + 25 = 0
⇒ 2x2 + 10x + 5x + 25 = 0
⇒ 2x(x + 5) + 5(x + 5) = 0
⇒ (2x + 5)(x + 5) = 0
⇒ 2x + 5 = 0 or x + 5 = 0
⇒ 2x = -5 or x = -5
⇒ x = - or x = -5.
Hence, x = -5 or .
Answered By
10 Likes
Related Questions
One root of a quadratic equation is 3 + .
Statement (1): The other root of the given quadratic equation is 3 - .
Statement (2): If one root of the given quadratic equation is in the form of a surd, the other root is its conjugate.
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
The quadratic equation 2x2 - 9x + 12 = 0.
Statement (1): Sum of the roots of the equation = .
Statement (2): In an quadratic equation ax2 + bx + c = 0, sum of the roots = .
Options
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Solve :
Solve the quadratic equation 8x2 - 14x + 3 = 0
(i) When x ∈ I (integers)
(ii) When x ∈ Q (rational numbers)