Question

One of the roots of the equation x2+mx-5=0 is 2. find m​

Answer 1

EXPLANATION.

One roots of quadratic equation,

⇒ x² + mx - 5 = 0 is 2.

As we know that,

Put the value of x = 2 in equation, we get.

⇒ (2)² + m(2) - 5 = 0.

⇒ 4 + 2m - 5 = 0.

⇒ 2m - 1 = 0.

⇒ 2m = 1.

⇒ m = 1/2.

                                                                                                                       

MORE INFORMATION.

Quadratic expression.

A polynomial of degree two of the form ax² + bx + c (a ≠ 0) is called a quadratic expression in x.

The quadratic equation.

α = -b + √D/2a.

β = -b - √D/2a.

D = Discriminant.

D = b² - 4ac.

Answer 2

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One roots of quadratic equation,

⇒ x² + mx - 5 = 0 is 2.

As we know that,

Put the value of x = 2 in equation, we get.

⇒ (2)² + m(2) - 5 = 0.

⇒ 4 + 2m - 5 = 0.

⇒ 2m - 1 = 0.

⇒ 2m = 1.

⇒ m = 1/2.

                                                                                                                       

MORE INFORMATION.

Quadratic expression.

A polynomial of degree two of the form ax² + bx + c (a ≠ 0) is called a quadratic expression in x.

The quadratic equation.

α = -b + √D/2a.

β = -b - √D/2a.

D = Discriminant.

D = b² - 4ac.