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What is the solution of x² x 6 0?

What is the solution of x² x 6 0?

Answer: The solutions for the equation x2 – x – 6 = 0 using zero product property is x = 3 and x = – 2.

What are the roots of the equation x2 − X − 6 0?

{2,3}

Is the quadratic equation x2 x 6 0 written in standard form?

Incorrect. Remember that in standard form, the equation is written in the form ax2 + bx + c = 0. 3x + x2 = 6 becomes 3x + x2 – 6 = 0, so the standard form is x2 + 3x – 6 = 0. This means the correct answer is a = 1, b = 3, and c = −6….

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x = −1 + 2i x = −1 – 2i
1 – 4 – 2 = −5 1 – 4 – 2 = −5
−5 = −5 −5 = −5

What is the nature of the roots of the equation x2 6x 6 0?

By comparing given quadratic equation with ax2 + bx + c = 0, we get a =1, b = 6 and c = 6. Hence, the roots of given quadratic equation are real and distinct.

What is the sum of roots of quadratic equation x² x 6 0?

The given quadric equation is x2 + |x| − 6 = 0. Therefore, root of the given equation arereal and distinct. Thus, sum of the roots be = 0.

What are the roots of the quadratic equation x2 6?

The solutions/roots to 6=x2−x are x=−2,+3 .

What are the roots of quadratic equation x2 6?

How do you show that an equation has real roots?

The value of the discriminant shows how many roots f(x) has: – If b2 – 4ac > 0 then the quadratic function has two distinct real roots. – If b2 – 4ac = 0 then the quadratic function has one repeated real root. – If b2 – 4ac < 0 then the quadratic function has no real roots.

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What is the root of the quadratic equation?

The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.

How to find the solution of x2+5x+6?

To find equation solutions, solve x+2=0 and x+3=0. To find equation solutions, solve x + 2 = 0 and x + 3 = 0. x2+5x+6=0 Two solutions were found : x = -2 x = -3 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+5x+6 The first term is, x2 its

What is the value of x2 if x = 1?

For this equation to be true, x 2 must be 1 because any other number would make it false. If it was greater than one, then the RHS would be greater than the LHS. If it were less than one, the RHS would be less than the LHS. So x 2 must be 1. And if x 2 = 1, then x must be one as well, which means that x + 999 = 1 + 999 = 1000

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How to find the factor x2 – x – 6 using AC method?

Factor x2 − x−6 x 2 – x – 6 using the AC method. Tap for more steps… Consider the form x 2 + b x + c x 2 + b x + c. Find a pair of integers whose product is c c and whose sum is b b. In this case, whose product is − 6 – 6 and whose sum is − 1 – 1.

How to prove x^2-x-6 is a linear equation?

1. x^2-x-6=0. 2. (x-3) (x+2)=0. By zero property of multiplication, 3. x=3 and x=-2. Check both solutions back into the equation. If you meant 2x instead of x^2 then it is a linear equation.