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Y^2-38y-1575=0by completing square |
Answer» Solution for x2-38x-1575=0 equation:x2-38x-1575=0We add all the NUMBERS together, and all the variablesX^2-38x-1575=0a = 1; B = -38; c = -1575;Δ = b2-4acΔ = -382-4·1·(-1575)Δ = 7744The delta value is higher than zero, so the equation has TWO solutionsWe use following formulas to calculate our solutions:x_{1}=\frac{-b-\sqrt{\Delta}}{2a}x_{2}=\frac{-b+\sqrt{\Delta}}{2a}\sqrt{\Delta}=\sqrt{7744}=88x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-38)-88}{2*1}=\frac{-50}{2}=-25x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-38)+88}{2*1}=\frac{126}{2}=63 |
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