What is the sum of the roots of the given quadratic equation ${ 2x }^{ 2 }-8x+5=0$
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What is the sum of the roots of the given quadratic equation ${ 2x }^{ 2 }-8x+5=0$
For a quadratic equation ax^2 + bx + c = 0, the sum of the roots is -b/a. Here, a = 2 and b = -8. Sum = -(-8)/2 = 8/2 = 4.
For a standard quadratic equation ax squared plus bx plus c equals 0, the sum of its roots is calculated using the formula minus b divided by a. In the equation 2x squared minus 8x plus 5 equals 0, the coefficients are a equals 2 and b equals minus 8. Substituting these values into the formula gives minus (minus 8) divided by 2. This simplifies to 8 divided by 2, which equals 4.