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stiks02 [169]
2 years ago
8

Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring:

Mathematics
2 answers:
Charra [1.4K]2 years ago
7 0

Answer:

Part A - Option B - b^2-4ac

Part B - b^2-4ac=25

Step-by-step explanation:

Part A : Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring.

The formula which tells the quadratic equation can be solve by factoring is called a discriminant.

Discriminant of the quadratic equation is D=b^2-4ac

So, Option B is correct.

Part B : Use the part of the quadratic formula that you chose above and find its value given the following quadratic equation:  

2x^2 + 7x + 3 = 0

The solution of the quadratic equation ax^2+bx+c=0 is

x=\frac{-b\pm \sqrt{D}}{2a}

On comparing with 2x^2 + 7x + 3 = 0

a=2 ,b=7 ,c=3

D=b^2-4ac

D=7^{2}-4(2)(3)}

D=49-24

D=25>0

So, there exist distinct real roots.

Substitute in the formula,

x=\frac{-7\pm\sqrt{25}}{4}

x=\frac{-7\pm 5}{4}

x=\frac{-7+5}{4},\frac{-7-5}{4}

x=\frac{-2}{4},\frac{-12}{4}

x=-\frac{1}{2},-3

andre [41]2 years ago
4 0
The part of the quadratic formula that dictates whether the function is factorable or not is B. b^2 - 4ac. This determines the number of real, imaginary, negative and positive roots. 
In the equation <span>2x^2 + 7x + 3, 
we use the quadratic formula 
x = -b +- sqrt (b2 -4ac) /2a = -7 +- </span><span>sqrt (49 -24) /4
the answers are x1 =-0.5 and x2 = -3.</span>
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