Question

4x^2-25=0 quadratic equations​

Answer 1

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Q:-4x^2-25=0 quadratic equations

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$⇒4 {x}^{2} - 25 = 0$

$⇒4 {x}^{2} = 25$

$⇒ {x}^{2} = \frac{25}{4}$

$⇒x = \sqrt{ \frac{25}{4} } = \frac{5}{2} ✓$

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Answer 2

Question:

4x^2-25=0 quadratic equations???

Answer:

If we have to find the simple answer of x using quadratic formulae

$\longrightarrow$$4 {x}^{2} - 25 = 0$

$\longrightarrow$$\sf\pink{d \:= \:{b}^{2}\: - \:4ac}$

$\longrightarrow$$d = 0 - 4(4)( - 25)$

$\longrightarrow$$d = 16 \times 25$

$\longrightarrow$$d = 400$

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now , using quad formulae

$\implies$$x = \frac{ - b </strong><strong>±</strong><strong> \sqrt{d} }{2a}$

$\implies$$x = \frac{ - b + \sqrt{d} }{2a} \: \: \: and \: \: \: x = \frac{ - b - \sqrt{d} }{2a}$

$\implies$$x = \frac{</strong><strong> </strong><strong>\</strong><strong>s</strong><strong>q</strong><strong>r</strong><strong>t</strong><strong>{</strong><strong>400</strong><strong>}</strong><strong> </strong><strong> </strong><strong>}{8} \: \: \: and \: \: \: x = - \frac{ \sqrt{400} }{8}$

[tex] \implies [/tex][tex]x\: =\: \frac{ 20}{8} \: \: \: and \: \: \: x\:= -\frac{20}{8}

$\implies$$x = </strong><strong>5</strong><strong>/</strong><strong>2</strong><strong> \: \: \: \: and \: \: \: x = - 5</strong><strong>/</strong><strong>2</strong><strong>$

$\longrightarrow$therefore , either x=5/2 or -5/2

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$\sf {\boxed {\pink { </strong><strong>x\</strong><strong>:</strong><strong>=</strong><strong>\</strong><strong>:</strong><strong>5</strong><strong>0</strong><strong>,</strong><strong>-</strong><strong>5</strong><strong>0</strong><strong>}}}$