Is 4×2 12x 9 a perfect square?

Is 4×2 12x 9 a perfect square?

4x 2 + 12x + 9 is a perfect square trinomial.

What is the number of solutions of 4×2 12x 9 0?

4.2 Solving 4×2+12x+9 = 0 by Completing The Square . This quadratic equation has one solution only. That’s because adding zero is the same as subtracting zero.

What is the GCF of 4×2 and 12x?

The GCF for the numerical part is 4 .

What is the nature of roots of the quadratic equation 4×2 12x 9 0?

SOLUTION : Given : 4x² – 12x – 9 = 0 . Therefore, root of the given equation 4x² – 12x – 9 = 0 are real and distinct. Hence, nature of roots of the quadratic equation 4x²− 12x − 9 = 0 are real and distinct.

What is the nature of the roots of the quadratic equation?

To determine the nature of roots of quadratic equations (in the form ax^2 + bx +c=0) , we need to caclulate the discriminant, which is b^2 – 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.

What is the nature of the roots of the quadratic equation 4×2?

What is the nature of roots of the quadratic equation 4×2 – 12x – 9 = 0? Since D > 0, therefore, roots of the given equation are real and unequal.

What is the nature of the roots of the quadratic equation 4×2 4x 1 0?

∴△=0. Therefore, roots are real and equal.

Which one is the quadratic equation?

A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.

Are real roots negative?

Therefore, the previous f(x) may have 2 or 0 positive roots. Negative real roots. There can be, at most, two negative roots. However, similar to the rule for positive roots, the number of negative roots is equal to the changes in sign for f(–x), or must be less than that by an even number.

Which of the following equations has 2 as a root?

2x² – 7x + 6 …… this is your correct answer ….

Which of the following equations has 1 as a root?

∴ Option (c) has -1 as a root.

Which of the following equation has roots 3 and 5?

Solution. Hence, the correct answer is x2 – 8x + 15 = 0.

Which of the following equations has the sum of its roots as 3?

The value of a is -1 and the value of b is 3. The sum of its roots is 3. Therefore option 2 is correct.

Which of the following equation has 3 as a solution?

The equation for which 3 is a solution is 3x−9=0.

Can an equation have 3 solutions?

That gives three solutions, and a cubic can have no more than three solutions. For a cubic equation f(x) if f′(x) is 0 at a and b. Then, if f(a)f(b)<0 then the equation has three real roots and if f(a)f(b)>0 then it has a single real root.

What are linear equations in two variables?

Linear equations in two variables. If a, b, and r are real numbers (and if a and b are not both equal to 0) then ax+by = r is called a linear equation in two variables. (The “two variables” are the x and the y.) The numbers a and b are called the coefficients of the equation ax+by = r.

What is the highest power of a variable in linear equation?

A linear equation is an equation where the highest power of the variable (usually x) is one.

What is the highest power of an equation called?

Step-by-step explanation: The highest power of an equation with one variable is called linear equations…… Hope it helps you.

What is the highest power of variable in linear equation 3x 2 0?

The highest power of a variable in a linear eqation is 1.