Leave ut as the sq.rt. of 17.
or is this question unfactorable and I have to use the quadratic formula??
you cant. the quadratic function must be expressed as a number. Radicals and numbers dont mix
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Plug 'a', 'b', and 'c' from the equation into the formula. When you do that, the formula becomes a pair of numbers ... one number when you pick the 'plus' sign, and another number when you pick the 'minus' sign. Those two numbers are the 'solutions' to the quadratic equation you started with.
The quadratic formula is used to find the solutions (roots) of a quadratic equation in the form ax² + bx + c = 0, where "a," "b," and "c" are constants.
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To change a quadratic equation from standard form ( ax^2 + bx + c ) to factored form, you need to find two numbers that multiply to ( ac ) (the product of ( a ) and ( c )) and add to ( b ). Once you identify these numbers, you can express the quadratic as ( a(x - r_1)(x - r_2) ), where ( r_1 ) and ( r_2 ) are the roots derived from the numbers found. If factoring is not straightforward, you can also use the quadratic formula to find the roots.
imaginary numbers occur in the quadratic formula because of the radical symbol, and the possibility of a negative radican and that results in imaginary numbers. I hope this helped!
To find two numbers that multiply to give ( C ) and add up to ( B ), you can set up the equations ( x \cdot y = C ) and ( x + y = B ). These two equations can be solved simultaneously by substituting ( y ) from the second equation into the first, leading to a quadratic equation. The solutions to this equation will provide the two numbers you are looking for. If ( B^2 - 4C ) is non-negative, the numbers can be found using the quadratic formula.