Find the discriminant and the number of real roots for this equation 9x^2+12x+4=0
Answers
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
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Answer:
13 bracelets
Step-by-step explanation:
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Answer: Dorothea can make 13 bracelets.
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II n²
III 2 - n
Answers
ex. 2n
you can have n=-1
2(-1)
-2<-1
ex. n^2
n=1
1^2
=1
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ex. 2-n
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Answers
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If two similar cylinders have heights of 75cm and 25cm. What is the
ratio of the volume of the larger cylinder to the volume of the smaller
cylinder? Can someone please explain in detail. Thank you!
Answers
The ratio of and area is the square of this: ie 9 : 1 or 75^2 : 25^2
(In working out the area the radius is squared)
The ratio of the volumes is the cube of this: ie 27 : 1 or 75^3 : 25^3
(In working out the volume the radius is cubed)
Hopefully this explains it
V2 = π* ( r2)^2 * 25;
V1/V2 = (r1/r2)^2 * 3.
Answers
x^m=x times itself m times
REMEMBER THAT MULCTIPLICATION IS COMMUTATIVE
a(bc)=(ab)c
so basically
(abc)(3ac)=a*b*c*3*a*c=a*a*c*c*b*3=3a^2bc^2
group and regroup and move around
so in your problem
(3x^2y^3)(-5xy^4z)=
(3)(x^2)(y^3)(-5)(x)(y^4)(z)=
(3)(-5)(x^2)(x)(y^3)(y^4)(z)=
(-15)(x^3)(y^7)(z)=
-15x^3y^7z