The discriminant is 0. As the discriminant is 0 it will have equal roots.
And the real root is -2/3.
What is a Quadratic Equation?
In algebra, a quadratic equation is any equation that can be rearranged in a standard form where x represents an unknown, and a, b, and c represent known numbers, where a ≠ zero.
Conclusion: If a = zero, then the equation is linear, no longer quadratic, as there's no ax^2 term.
9+12x+4=0
a = 9 ; b = 12; c = 4;
discriminant = Δ = - 4ac
Δ = - (4*9*4) = 144 - 144 = 0
roots of quadratic equations are [ (-b ± √Δ)/ 2a)]
let roots of eqation are x1 & x2
As discriminant is zero so, x1=x2
x1 = x2 = -b/2a = - 12/(2*9) = -2/3
learn more about quadratic equations here brainly.com/question/1214333
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Answer:
hello :
9x^2+12x+4=0
a = 9 b = 12 c = 4
the discriminant Δ = b² - 4ac = 12² - 4(9) (4 ) =144 - 144 = 0
x1 = x2 = - b/2a = -12/18 = - 2/3
the real root is : - 2/3
Question 2 options:
10°, 10°, 160°
15°, 75°, 90°
20°, 80°, 100°
35°, 35°, 105°
60°, 60°, 60°
The sum of all the three interior angles of a triangle are 180 degrees. This does not depend on the positioning of the three sides. The sides can be positioned in any way, but the sum must be 180 degrees.
So, the best possible sets of measurements that could be the interior angle measures of a triangle are : 15°, 75°, 90° And 60°, 60°, 60°
To add the polynomials, combine like terms by adding the coefficients. The sum of the polynomials is 4x^3 - 3x^2 + x - 8.
To add the polynomials 3x^3+4x^2-x+8 and x^3-7x^2+2x-16, we combine like terms. We add the coefficients of the terms with the same degree of x.
Starting with the terms with degree 3, we have 3x^3 + x^3 = 4x^3.
Continuing with the terms with degree 2, we have 4x^2 - 7x^2 = -3x^2, and for the terms with degree 1, we have -x + 2x = x. Lastly, for the terms with degree 0 or the constant terms, we have 8 - 16 = -8.
Therefore, the sum of the polynomials is 4x^3 - 3x^2 + x - 8.
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x=-17 17
X=-2+25
x=-12 13
Answer:
it would be the last answer
Step-by-step explanation:
Answer:
product y ³ - 64 and a = 16.
Step-by-step explanation:
Given : (y — 4)(y² + 4y + 16) .
To find : Using the distributive property to find the product a polynomial of the form y³ + 4y² + ay – 4y² – ay – 64. What is the value of a in the polynomial?
Solution : We have given
(y — 4)(y² + 4y + 16) .
Distribute y over (y² + 4y + 16) and - 4 over (y² + 4y + 16).
y (y² + 4y + 16) - 4 (y² + 4y + 16).
y ³+ 4y² + 16 y - 4y² - 16y - 64.
This is in form of y³ + 4y² + ay – 4y² – ay – 64.
Here, a = 16.
Product : combine like terms
y ³+ 4y² - 4y² + 16y - 16y - 64.
y ³ - 64.
Therefore , product y ³ - 64 and a = 16.