Mathematics
26.09.2022 21:55
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Solve for x in each of the following quadratic equations. a. x^2 = 5 + 24 b. 2x^2

Solve for x in each of the following quadratic equations. a. x^2 = 5 + 24 b. 2x^2 − 5 + 1 = 0 (leave your answer in simplified radical form)
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bellpreslee7115
bellpreslee7115
4,4(77 marks)
Okay so...
x² = 5x + 24          move it, so one side equals zero.
 x² - 5x - 24 =0    factors of 24 is 3 and 8 when you subtract 8 from 3 you get -5.
(x+3)(x-8)
x+3= 0    or    x-8=0       
x= -3       or    x=8

b. 2x² - 5x + 1=0
 quadratic formula = -b +-√b²-4ac / 2a
a= 2 b= -5 c=1
-(-5) +-√(-5)² - 4(2)(1) / 2(2)

5+-√25 - 8 / 4
   =5 +- √17 / 4

x= 5/4 + √17 / 4   or    x= 5/4 - √17/4

i couldn't find the plus-minus sign that why there's (+-)
i hope this helps!   :)
Emmasullivan2937
Emmasullivan2937
4,9(56 marks)

Given that Mandy Cart Contains :

5.1 pounds of Apples that cost $0.79 a Pound

From the above statement we can say that :

One Pound of Apples cost is 0.79 Dollar

5.1 Pounds of Apples cost = 5.1 × Cost of One Pound of Apples

5.1 Pounds of Apples cost = (5.1 × 0.79) Dollar = 4.029 Dollar

So the Cost of Apples Mandy Put in her Cart is 4.029 Dollar

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