Question

solve 8x² - 230x + 750 by quadratic formula
pls solve it only by quadratic formula and not by any other method​

Answer 1

Answer:

• Equation : 8x² - 230x + 750 = 0

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$:\implies\sf 8x^2-230x+750=0\\\\\\:\implies\sf 2(4x^2 - 115x + 375) = 0\\\\\\:\implies\sf 4x^2 - 115x + 375 = 0$

⠀

• Here a = 4 ; b = - 115 ; c = 375
• Now we will use Quadratic Formula.

⠀

$:\implies\sf x = \dfrac{ -b \pm \sqrt{b^{2} - 4ac}}{2a}\\\\\\:\implies\sf x = \dfrac{ -( - 115) \pm \sqrt{( - 115)^{2} - (4 \times 4 \times 375)}}{2 \times 4}\\\\\\:\implies\sf x = \dfrac{115 \pm \sqrt{13225 - 6000} }{8}\\\\\\:\implies\sf x = \dfrac{115 \pm \sqrt{7225} }{8}\\\\\\:\implies\sf x = \dfrac{115 \pm 85}{8}\\\\\\:\implies\sf x =\dfrac{115 + 85}{8} \qquad x = \dfrac{115 - 85}{8}\\\\\\:\implies\sf x =\dfrac{200}{8} \qquad x = \dfrac{30}{8}\\\\\\:\implies\sf x = 25 \qquad x = \dfrac{15}{4}$

Answer 2

Answer:

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