Q. Write the quadratic equation in standard form:−4x+19=4x2Answer:
Move terms to one side: First, we move all terms to one side of the equation to set it equal to zero.Subtract −4x from both sides and subtract 19 from both sides to get:4x2+4x−19=0
Check standard form: Now, we check to ensure that the equation is in standard form, which is ax2+bx+c=0. The equation 4x2+4x−19=0 is indeed in standard form, with a=4, b=4, and c=−19.
Verify common factors: Finally, we verify that there are no common factors that can be factored out of all terms. Since 4, 4, and −19 do not have a common factor other than 1, we cannot simplify the equation further.
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