Solve 12

Solve the following quadratic equation:

3/2-(2x-1)2=5/4

Correct answer:

x1 =  3/4
x2 =  1/4

Step-by-step explanation:

3/2−(2x−1)2=5/4  −4x2+4x−0.75=0 4x2−4x+0.75=0  a=4;b=−4;c=0.75 D=b2−4ac=42−4⋅4⋅0.75=4 D>0  x1,2​=2a−b±D​​=84±4​​ x1,2​=84±2​ x1,2​=0.5±0.25 x1​=0.75=43​ x2​=0.25

Our quadratic equation calculator calculates it.

x2​=0.25=41​

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