Question

(i) For quadratic equation 10x2 + 10x + 1 = 0, what is the value of a + B?
p.s:Solve with explanation
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Answer 1

Answer:

Please see the attachment

Answer 2

The sum of roots of given quadratic equation is -1.

$\alpha + \beta = -1$

Step-by-step explanation:

We are given the quadratic equation:

$10x^2 + 10x + 1 = 0$

Let $\alpha, \beta$ be the roots of the given quadratic equation.

We have to find the value of $\alpha + \beta$ that is we have to find the value of the sum of the roots.

The sum of a quadratic equation, $ax^2 + bx + c = 0$ is given by:

Formula:

$\alpha + \beta = -\dfrac{b}{a}$

Comparing the given quadratic equation, we get:

$a = 10\\b = 10\\c = 1$

Thus,

$\alpha + \beta = -\dfrac{10}{10} = -1$

Thus, the sum of roots of given quadratic equation is -1.

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