a. x= -0.5
b. x= 0.2 or x= -1.2
c. x= 0.5
d. x= 1.2 or x= -0.2
Solve 4x^2 + 4x = -1. round to the nearest tenth.?
2009-09-30 3:55 pm
回答 (10)
2009-09-30 4:02 pm
✔ 最佳答案
4x^2 + 4x = -14x^2 + 4x + 1 = 0
(-4 +/- (sq rt (4^2-4(4)(1))))/2(4)
(-4 +/- (sq rt (0)))/8
-4/8 = -0.5
2009-09-30 3:59 pm
4x^2 + 4x = -1
4x^2 + 4x +1 = 0.....take factors
(2x + 1)(2x + 1) = 0
This is true when x = -0.5
the answer is a.
4x^2 + 4x +1 = 0.....take factors
(2x + 1)(2x + 1) = 0
This is true when x = -0.5
the answer is a.
2017-01-19 4:15 pm
[x + (eleven/8)]^2 = 3/4 + 121/sixty 4 [x + (eleven/8)]^2 = 40 8/sixty 4 + 121/sixty 4 [x + (eleven/8)]^2 = 169/sixty 4 sq. root of the two factors, giving x+ eleven/8 = +-13/8 so x = -eleven/8 + 13/8 = 2/8 = a million/4 or x = -eleven/8 - 13/8 = -24/8 = -3
2009-09-30 5:12 pm
4x^2 + 4x + 1 = 0
x = [ - b ± √ (b ² - 4 a c ) ] / 2 a
x = [ - 4 ± √ (16 - 16 ) ] / 8
x = - 0.5
OPTION a
x = [ - b ± √ (b ² - 4 a c ) ] / 2 a
x = [ - 4 ± √ (16 - 16 ) ] / 8
x = - 0.5
OPTION a
2009-09-30 4:48 pm
(a + b)^2 ≡ a^2 + 2ab + b^2
4x^2 + 4x = -1
4x^2 + 4x + 1 = 0
(2x)^2 + 2(2x)(1) + 1^2 = 0
(2x + 1)^2 = 0
2x + 1 = 0
2x = -1
x = -1/2 (-0.5)
∴ x = -1/2 (-0.5)
(answer a)
4x^2 + 4x = -1
4x^2 + 4x + 1 = 0
(2x)^2 + 2(2x)(1) + 1^2 = 0
(2x + 1)^2 = 0
2x + 1 = 0
2x = -1
x = -1/2 (-0.5)
∴ x = -1/2 (-0.5)
(answer a)
2009-09-30 4:27 pm
4x^2 + 4x = -1
4x^2 + 4x +1=0
4x^2/4 + 4x/4 + 1=0
x^2 + x + 1 = 0
x^2/2 + x + 1/2 = 0
x - x = 0+1/2
so, X = -1/2 or -0.5
A. x= -0.5 is your answer
4x^2 + 4x +1=0
4x^2/4 + 4x/4 + 1=0
x^2 + x + 1 = 0
x^2/2 + x + 1/2 = 0
x - x = 0+1/2
so, X = -1/2 or -0.5
A. x= -0.5 is your answer
2009-09-30 4:04 pm
4x^2+4x+1=0
x=(-4 ± √(4^2-4*4*1))/(2*4)=(-4)/8=-0.5
The function has only one solution since 4x^2+4x+1=(2x+1)^2
(:
x=(-4 ± √(4^2-4*4*1))/(2*4)=(-4)/8=-0.5
The function has only one solution since 4x^2+4x+1=(2x+1)^2
(:
2009-09-30 4:04 pm
(2x + 1)^2 = 0
so x = - 1 / 2
so x = - 1 / 2
2009-09-30 4:00 pm
4x^2 + 4x + 1 = 0
x^2 + x + 1/4 = 0
D = 1^2 - 4 * 1 * 1/4 = 0
x = (-1 +/- sqrt(0))/2 = -0.5, so answer a
x^2 + x + 1/4 = 0
D = 1^2 - 4 * 1 * 1/4 = 0
x = (-1 +/- sqrt(0))/2 = -0.5, so answer a
2009-09-30 3:59 pm
-0.5
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