Solve for x. Enter the solutions from least to greatest. 5x^2 - 20x + 15 = 0

Mathematics

2 answers:

pickupchik [31]3 years ago

8 0

Answer:

x = {1, 3}

Step-by-step explanation:

5x² - 20x + 15 = 0
x² - 4x + 3 = 0
x² - 4x + 4 = 1
(x - 2)² = 1
√(x - 2)² = √1
x - 2 = ± 1
x = 2 ± 1
x = 1, x = 3

MrMuchimi3 years ago

7 0

Yea it is correct the answer is x=3
X=1

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nlexa [21]

Answer:

A = -12

B = -8

C = -4

Step-by-step explanation:

$y=2x-8$

x = -2

$y=2(-2)-8=-4-8=-12$

A = -12

x = 0

$y = 2 (0)-8=-8$

B = -8

x = 2

$y = 2 (2) -8 = 4-8 = -4$

C = -4

Hope this helps

8 0

2 years ago

a road follows the shape of a parabola f(x)=3x2– 24x + 39. A road that follows the function g(x) = 3x – 15 must cross the stream

Nonamiya [84]

the coordinates where the bridges must be built is $(3,-6)$ and $(6,3)$ .

<u>Step-by-step explanation:</u>

Here we have , a road follows the shape of a parabola f(x)=3x2– 24x + 39. A road that follows the function g(x) = 3x – 15 must cross the stream at point A and then again at point B. Bridges must be built at those points.We need to find Identify the coordinates where the bridges must be built. Let's find out:

Basically we need to find values of x for which f(x) = g(x) :

⇒ $f(x)-g(x)=0$