Solve the quadratic equation by factoring. 4x^2-20x+28=3

X=5/2

Step-by-step explanation:

4x2−20x+28=34x2-20x+28=3

Move all terms to the left side of the equation and simplify.

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4x2−20x+25=04x2-20x+25=0

Use the quadratic formula to find the solutions.

−b±√b2−4(ac)2a-b±b2-4(ac)2a

Substitute the values a=4a=4, b=−20b=-20, and c=25c=25 into the quadratic formula and solve for xx.

20±√(−20)2−4⋅(4⋅25)2⋅420±(-20)2-4⋅(4⋅25)2⋅4

Simplify.

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x=52x=52

The final answer is the combination of both solutions.

x=52x=52 Double roots

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.