Write each quadratic equation in standard form and identify the values of a ,b and c.
1)
[tex]4x {}^{2} = 2x + 6[/tex]
2)
[tex]11x = 3x {}^{2} - 9[/tex]
3)
[tex]2x {}^{2} - 7x - 8 = 12[/tex]
4)
[tex]3x(1 - 2x) = 16[/tex]
5)
[tex]x {}^{2} + 3x(x - 2) = 5[/tex]
6)
[tex]x + 3 = (2 \times x) { }^{2} [/tex]
7)
[tex]x {}^{2} - x + 3 = 4x {}^{2} - 5[/tex]
8)
[tex]2x(9 - 5x) = - 5x(2 - 3x)[/tex]
9)
[tex]x(x + 2) - 10 = x(7 - 2x)[/tex]
10)
[tex]3x(2 + 2x) = x(5x - 5)[/tex]
please help...
1)
[tex]4x {}^{2} = 2x + 6[/tex]
2)
[tex]11x = 3x {}^{2} - 9[/tex]
3)
[tex]2x {}^{2} - 7x - 8 = 12[/tex]
4)
[tex]3x(1 - 2x) = 16[/tex]
5)
[tex]x {}^{2} + 3x(x - 2) = 5[/tex]
6)
[tex]x + 3 = (2 \times x) { }^{2} [/tex]
7)
[tex]x {}^{2} - x + 3 = 4x {}^{2} - 5[/tex]
8)
[tex]2x(9 - 5x) = - 5x(2 - 3x)[/tex]
9)
[tex]x(x + 2) - 10 = x(7 - 2x)[/tex]
10)
[tex]3x(2 + 2x) = x(5x - 5)[/tex]
please help...
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ANSWER
1. 4x²=2x+6
STANDARD FORM: 4x²-2x-6 = 0
VALUES OF A, B, & C: a= 4, b= -2, c= -6
2. 11x= 3x²-9
STANDARD FORM: -3x²+11x+9=0
VALUES OF A, B, & C: a= -3, b= 11, c= 9
3. 2x²-7x-8=12
2x²-7x-8-12=0
2x²-7x-20=0
STANDARD FORM: 2x²-7x-20=0
VALUES OF A, B, & C: a= 2, b= -7, c= -20
4. 3x(1-2x)=16
3x-6x²= 16
-6x²+3x= 16
-6x²+3x-16=0
STANDARD FORM: -6x²+3x-16=0
VALUES OF A, B, & C: a= -6, b= 3, c= -16
5. x ² + 3x(x - 2) = 5
x²+3x²-6x=5
4x²-6x=5
4x²-6x-5=0
STANDARD FORM: 4x²-6x-5=0
VALUE OF A, B, &C: a= 4, b= -6, c= -5
6. x + 3 = (2 • x)²
x + 3 = (2x)(2x)
x+3=4x²
-4x²+x+3=0
STANDARD FORM: -4x²+x+3=0
VALUE OF A, B, &C: a= -4, b= 1, c= 3
7. x ²- x + 3 = 4x²- 5
x²-4x²-x+3+5=0
-3x²-x+8=0
STANDARD FORM: -3x²-x+8=0
VALUE OF A, B, &C: a= -3, b= -1, c= 8
8. 2x(9 - 5x) = - 5x(2 - 3x)
18x-10x²= -10x+15x²
-10x²+18x= 15x²-10x
-10x²-15x²+18x+10x=0
-25x²+28x=0
STANDARD FORM: -25x²+28x=0
VALUE OF A, B, &C: a= -25, b=28, c= 0
9. x(x + 2) - 10 = x(7 - 2x)
x²+2x-10=7x-2x²
x²-2x²+2x-7x-10=0
-x²-5x-10=0
STANDARD FORM: -x²-5x-10=0
VALUE OF A, B, &C: a= -1, b= -5, c= -10
10.3x(2 + 2x) = x(5x - 5)
6x+6x²= 5x²-5x
6x²+6x=5x²-5x
6x²-5x²+6x+5x=0
x²+11x=0
STANDARD FORM: x²+11x=0
VALUE OF A, B, &C: a= 1, b= 11, c= 0