Thursday

January 29, 2015

January 29, 2015

Posted by **John** on Saturday, December 29, 2012 at 10:27am.

2) 9x²+24x+16

Can you show me all the steps...i dont know how to do it...Thankyou!!:)

- basic algebra -
**bobpursley**, Saturday, December 29, 2012 at 12:11pmfirst: add 7x to each side. Then divide both sides by 9

second: subtract 9x+16 from each side. Then divide both sides by 15

- basic algebra -
**John**, Saturday, December 29, 2012 at 1:31pmwe have to factor not solve

- basic algebra -
**Henry**, Saturday, December 29, 2012 at 2:20pm1. Y = 2x^2-7x-15 = 0.

Use the AC method of factoring:

A*C = 2*-15 = -30 = 1*-30 = 3*-10.

Choose the pair of factors whose sum = B(-7): 3, and -10.

2x^2 + (3x-10x) - 15 = 0.

Group the 4 terms into 2 factorable pairs:

(2x^2-10x) + (3x-15)

2x(x-5) + 3(x-5)

(x-5) is common to both terms. So we factor out(x-5):

(x-5)(2x+3) = 0

x-5 = 0

X = 5.

2x+3 = 0

2x = -3

X = -1.5.

Solution set: X = 5, and -1.5.

2. 9x^2+24x+16 = 0.

The given expression is a perfect square: 9x^2+24x+16 = (3x+4)^2 = 0.

(3x+4)^2 = 0

Take sgrt of both sides:

+-(3x+4) = 0

3x+4 = 0

3x = -4

X = -1 1/3 = -1.33333.

-3x-4 = 0

-3x = 4

X = -1 1/3 = -1.33333.

Solution X = -1.33333, and -1.33333.

Note: The given expression was set to zero, because the solutions are x-intercepts and Y = 0 at the x-intercepts.

- basic algebra -
**Henry**, Saturday, December 29, 2012 at 3:34pm9x^2+24x+16. Factor only.

9x^2+24x+16 = (3x+4)^2 = (3x+4)(3x+4).

- basic algebra -
**John**, Sunday, December 30, 2012 at 12:30pmThankyou so much!!

**Answer this Question**

**Related Questions**

algebra - Did I do this problem the correct way if so is there a shorter way to ...

algebra - 12-6x=3[2-4(x-6)] I KNOW THE ANSWER IS 11 BUT EVERYTIME I DO THE STEPS...

Trig - Can somebody please help me find the domain of: 1 / cos4x If there are ...

Algebra 2 - Find all of the zeros of each function 1. q(x)=2x^3-17x^2+90x-41 2.x...

Simple Math - In 10 years, Mr. Yen will be twice as old as his daughter. Their ...

Algebra - need help in solving by substitution. We all have different steps and ...

Math - Could you show me how to work through this problem? Show me steps Solve ...

alg2 check? - solve 3(8x-2)=46-2(12x+1) 24x-6=46-24x+2 24x-6=48-24x 48x-6=48 48x...

college algebra - analyze the graph of the following function. r(x)= x^2+x-6...

math ergent please please... - 10.a)Solve the inequality x^3-5x^2+2x+8<0 by i...