# math

posted by .

14x^2+19x+32=18

• math -

This requires some Alg II...

Initial Problem...
14x^2 + 19x + 32 = 18

Move "C term" to the right.
14x^2 + 19x = -14

Divide both sides by 14.
x^2 + 19x/14 = -1

Complete the square.
x^2 + 19x/14 + 361/784 = -1 + 361/784

Simplify and factor...
(x + 19/28)^2 = -423/784

Square root both sides.
x + 19/28 = ±i√(423/784)

Rationalize right side.
x + 19/28 = (±3i√47)/28

Isolate x.
x = -19/28 ±3i√(47)/28

## Similar Questions

Please take a look at my work and let me know if I made any mistakes. You don't have to give me the answers. I'd just like to know if I made any mistakes so that I can correct them. Thanks! 1. 3x – 7 = 8 + 7 +7 3x = 15 3 3 x=5 2. …
2. ### Algebra

Factor. 14x^4 - 19x^3 - 3x^2 I am having a little trouble with this one. Please help if you can! Thank you! :-)
3. ### math

can you check my answers? i have to write the clop intercept form of the equation key (a= means answer is) 1. 3x-2y=12 a= 3/2x-6=y 2. x+y=7 a= y=-x+7 3. -13+6y=x a= y=x/6+13/6 4. -2y=24+6x a= y=-3x-12 5. 49x-y=558 a= y=49x-558 6. 3x+14y=-56
4. ### algebra

can you check my answers? i have to write the slope intercept form of the equation key (a= means answer is) 1. 3x-2y=12 a= 3/2x-6=y 2. x+y=7 a= y=-x+7 3. -13+6y=x a= y=x/6+13/6 4. -2y=24+6x a= y=-3x-12 5. 49x-y=558 a= y=49x-558 6.
5. ### math

which equation is equivalent to 5x-2(7x+1)=14x?

Factor completely. If the polynomial cannot be factored say it is prime. 1) 15x^3 + 19x^2 + 6x A) (3x^2 +2)(5x+3) B) x(3x+2)(5x+3) C) x^2(3x+2)(5x+3) D) x(5x+2)(3x+3) E) Prime I chose E) Prime. 2) 2x^2 - 14x - 6x + 42 A) 2(x+7)(x+3) …
7. ### Algebra

Is f(x) = 16 - 14x - 10x^2 - 19x^3 + 18x^4 a polynomial?
8. ### algebra

solve the following equation by clearing fractions show all work want to know if this right -7/3-5/2x=8+2x 6(-2/3)-(5/2x)(6)=6(8)+2x(6) 14x-15=48+12x 14x-12x-15=48+14x-14x 2x-15=48 2x-15+15=48+14x-14x 2x-15=48 2x-15+15=48+15 2x=-33 …
9. ### Algebra

Find the product (1 - 3x) (x^2 - 6x - 4)x^2 A. -3x^5 + 19x^4 + 6x^3 - 4x^2 B. -3x^5 - 19x^4 + 6x^3 - 4x^2 C. -3x^5 + 19x^4 - 6x^3 - 4x^2 D.-3x^5 - 19x^4 - 6x^3 - 4x^2
10. ### Maths

find the equation of the perpendicular bisector of the line joining P(2, -4) to Q(-5,1) A. 8y-14x 13=0 B. 8y-14x-13=0 C. 8y 14x-13=0 D. 8y 14x 13=0 Please I need someone to help me with this, with an explanatory workings.

More Similar Questions