Question

Equation, is x² + 11x + 30 = 0, then find the its roots .​

Answer 1

Step-by-step explanation:

we can write 11x as 6x-5x as 6*5 is 30 which we have in the equation

so,

x² + 6x +5x +30

= X(X+6) + 5(X+6)

=(X+5)(X+6)

X+5 =0

X=-5

or

X+6 =0

X=-6

therefore the roots are -5 and -6

Answer 2

Solution

Find :-

• Equation , x² + 11x + 30 = 0

Find :-

• Roots of this Equation.

Explanation,

Let,

• p & q be the roots of this Equation.

Given, that

==> x² + 11x + 30 = 0

==> x² + 6x + 5x + 30 = 0

==> x(x + 6) + 5(x + 6) = 0

==> (x + 5)(x + 6) = 0

==> x + 5 = 0 , Or x + 6 = 0

==> x = -5 Or, x = -6

Here,

• p = -5
• q = -6

Now, Verification our ans.

Using Formula

Using Formula★ Sum of roots = -(Coefficient of x )/(coefficient of x²)

==> Sum of roots = -11/1

==> p + q = -11

keep Value,

==> -5 -6 = -11

==> -11 = -11

★ Product of roots = (constant part)/(coefficient of x)

==> p.q = 30

==> (-5).(-6) = 30

==> 30 = 30

That's Proved.

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